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Finding the Fourth Proportional to 715.57, 1,071.70 and 610.31

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Solution

The fourth proportional to 715.57, 1,071.70 and 610.31 is: 914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.57 : 1,071.70 = 610.31 : x
  2. Step 2: Convert to fraction form
    715.57/1,071.70 = 610.31/x
  3. Step 3: Cross multiply
    715.57x = 1,071.70 × 610.31
  4. Step 4: Simplify right side
    715.57x = 654,069.23
  5. Step 5: Solve for x
    x = 654,069.23/715.57
  6. Step 6: Final answer
    x = 914.05

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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.