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Finding the Fourth Proportional to 1,057.96, 1,586.17 and 508.99

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Solution

The fourth proportional to 1,057.96, 1,586.17 and 508.99 is: 763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.96 : 1,586.17 = 508.99 : x
  2. Step 2: Convert to fraction form
    1,057.96/1,586.17 = 508.99/x
  3. Step 3: Cross multiply
    1,057.96x = 1,586.17 × 508.99
  4. Step 4: Simplify right side
    1,057.96x = 807,346.32
  5. Step 5: Solve for x
    x = 807,346.32/1,057.96
  6. Step 6: Final answer
    x = 763.12

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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.