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Finding the Fourth Proportional to 1,365.19, 1,883.97 and 744.19

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Solution

The fourth proportional to 1,365.19, 1,883.97 and 744.19 is: 1,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.19 : 1,883.97 = 744.19 : x
  2. Step 2: Convert to fraction form
    1,365.19/1,883.97 = 744.19/x
  3. Step 3: Cross multiply
    1,365.19x = 1,883.97 × 744.19
  4. Step 4: Simplify right side
    1,365.19x = 1,402,031.63
  5. Step 5: Solve for x
    x = 1,402,031.63/1,365.19
  6. Step 6: Final answer
    x = 1,026.99

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.