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Finding the Fourth Proportional to 706.60, 1,059.45 and 521.61

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Solution

The fourth proportional to 706.60, 1,059.45 and 521.61 is: 782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.60 : 1,059.45 = 521.61 : x
  2. Step 2: Convert to fraction form
    706.60/1,059.45 = 521.61/x
  3. Step 3: Cross multiply
    706.60x = 1,059.45 × 521.61
  4. Step 4: Simplify right side
    706.60x = 552,619.71
  5. Step 5: Solve for x
    x = 552,619.71/706.60
  6. Step 6: Final answer
    x = 782.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.