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Finding the Fourth Proportional to 1,057.68, 1,585.61 and 509.11

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Solution

The fourth proportional to 1,057.68, 1,585.61 and 509.11 is: 763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.68 : 1,585.61 = 509.11 : x
  2. Step 2: Convert to fraction form
    1,057.68/1,585.61 = 509.11/x
  3. Step 3: Cross multiply
    1,057.68x = 1,585.61 × 509.11
  4. Step 4: Simplify right side
    1,057.68x = 807,243.40
  5. Step 5: Solve for x
    x = 807,243.40/1,057.68
  6. Step 6: Final answer
    x = 763.22

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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.