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Finding the Fourth Proportional to 706.48, 1,060.74 and 585.52

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Solution

The fourth proportional to 706.48, 1,060.74 and 585.52 is: 879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.48 : 1,060.74 = 585.52 : x
  2. Step 2: Convert to fraction form
    706.48/1,060.74 = 585.52/x
  3. Step 3: Cross multiply
    706.48x = 1,060.74 × 585.52
  4. Step 4: Simplify right side
    706.48x = 621,084.48
  5. Step 5: Solve for x
    x = 621,084.48/706.48
  6. Step 6: Final answer
    x = 879.13

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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.