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Finding the Fourth Proportional to 1,020.71, 1,529.96 and 501.07

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Solution

The fourth proportional to 1,020.71, 1,529.96 and 501.07 is: 751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.71 : 1,529.96 = 501.07 : x
  2. Step 2: Convert to fraction form
    1,020.71/1,529.96 = 501.07/x
  3. Step 3: Cross multiply
    1,020.71x = 1,529.96 × 501.07
  4. Step 4: Simplify right side
    1,020.71x = 766,617.06
  5. Step 5: Solve for x
    x = 766,617.06/1,020.71
  6. Step 6: Final answer
    x = 751.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.