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Finding the Fourth Proportional to 762.60, 1,053.18 and 586.20

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Solution

The fourth proportional to 762.60, 1,053.18 and 586.20 is: 809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.60 : 1,053.18 = 586.20 : x
  2. Step 2: Convert to fraction form
    762.60/1,053.18 = 586.20/x
  3. Step 3: Cross multiply
    762.60x = 1,053.18 × 586.20
  4. Step 4: Simplify right side
    762.60x = 617,374.12
  5. Step 5: Solve for x
    x = 617,374.12/762.60
  6. Step 6: Final answer
    x = 809.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.