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Finding the Fourth Proportional to 712.42, 1,061.77 and 711.34

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Solution

The fourth proportional to 712.42, 1,061.77 and 711.34 is: 1,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.42 : 1,061.77 = 711.34 : x
  2. Step 2: Convert to fraction form
    712.42/1,061.77 = 711.34/x
  3. Step 3: Cross multiply
    712.42x = 1,061.77 × 711.34
  4. Step 4: Simplify right side
    712.42x = 755,279.47
  5. Step 5: Solve for x
    x = 755,279.47/712.42
  6. Step 6: Final answer
    x = 1,060.16

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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.