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Finding the Fourth Proportional to 1,057.02, 1,585.99 and 509.13

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Solution

The fourth proportional to 1,057.02, 1,585.99 and 509.13 is: 763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.02 : 1,585.99 = 509.13 : x
  2. Step 2: Convert to fraction form
    1,057.02/1,585.99 = 509.13/x
  3. Step 3: Cross multiply
    1,057.02x = 1,585.99 × 509.13
  4. Step 4: Simplify right side
    1,057.02x = 807,475.09
  5. Step 5: Solve for x
    x = 807,475.09/1,057.02
  6. Step 6: Final answer
    x = 763.92

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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.