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Finding the Fourth Proportional to 710.36, 1,060.57 and 588.92

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Solution

The fourth proportional to 710.36, 1,060.57 and 588.92 is: 879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.36 : 1,060.57 = 588.92 : x
  2. Step 2: Convert to fraction form
    710.36/1,060.57 = 588.92/x
  3. Step 3: Cross multiply
    710.36x = 1,060.57 × 588.92
  4. Step 4: Simplify right side
    710.36x = 624,590.88
  5. Step 5: Solve for x
    x = 624,590.88/710.36
  6. Step 6: Final answer
    x = 879.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.