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Finding the Fourth Proportional to 1,341.70, 1,852.28 and 810.68

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Solution

The fourth proportional to 1,341.70, 1,852.28 and 810.68 is: 1,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.70 : 1,852.28 = 810.68 : x
  2. Step 2: Convert to fraction form
    1,341.70/1,852.28 = 810.68/x
  3. Step 3: Cross multiply
    1,341.70x = 1,852.28 × 810.68
  4. Step 4: Simplify right side
    1,341.70x = 1,501,606.35
  5. Step 5: Solve for x
    x = 1,501,606.35/1,341.70
  6. Step 6: Final answer
    x = 1,119.18

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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.