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Finding the Fourth Proportional to 706.60, 1,058.10 and 585.46

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Solution

The fourth proportional to 706.60, 1,058.10 and 585.46 is: 876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.60 : 1,058.10 = 585.46 : x
  2. Step 2: Convert to fraction form
    706.60/1,058.10 = 585.46/x
  3. Step 3: Cross multiply
    706.60x = 1,058.10 × 585.46
  4. Step 4: Simplify right side
    706.60x = 619,475.23
  5. Step 5: Solve for x
    x = 619,475.23/706.60
  6. Step 6: Final answer
    x = 876.70

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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.