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Finding the Fourth Proportional to 1,365.06, 1,883.22 and 841.38

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Solution

The fourth proportional to 1,365.06, 1,883.22 and 841.38 is: 1,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.06 : 1,883.22 = 841.38 : x
  2. Step 2: Convert to fraction form
    1,365.06/1,883.22 = 841.38/x
  3. Step 3: Cross multiply
    1,365.06x = 1,883.22 × 841.38
  4. Step 4: Simplify right side
    1,365.06x = 1,584,503.64
  5. Step 5: Solve for x
    x = 1,584,503.64/1,365.06
  6. Step 6: Final answer
    x = 1,160.76

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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.