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Finding the Fourth Proportional to 566.60, 782.70 and 537.04

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Solution

The fourth proportional to 566.60, 782.70 and 537.04 is: 741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.60 : 782.70 = 537.04 : x
  2. Step 2: Convert to fraction form
    566.60/782.70 = 537.04/x
  3. Step 3: Cross multiply
    566.60x = 782.70 × 537.04
  4. Step 4: Simplify right side
    566.60x = 420,339.50
  5. Step 5: Solve for x
    x = 420,339.50/566.60
  6. Step 6: Final answer
    x = 741.86

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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.