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Finding the Fourth Proportional to 1,057.93, 1,586.22 and 509.02

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Solution

The fourth proportional to 1,057.93, 1,586.22 and 509.02 is: 763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.93 : 1,586.22 = 509.02 : x
  2. Step 2: Convert to fraction form
    1,057.93/1,586.22 = 509.02/x
  3. Step 3: Cross multiply
    1,057.93x = 1,586.22 × 509.02
  4. Step 4: Simplify right side
    1,057.93x = 807,417.70
  5. Step 5: Solve for x
    x = 807,417.70/1,057.93
  6. Step 6: Final answer
    x = 763.21

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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.