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Finding the Fourth Proportional to 731.29, 1,092.65 and 705.77

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Solution

The fourth proportional to 731.29, 1,092.65 and 705.77 is: 1,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.29 : 1,092.65 = 705.77 : x
  2. Step 2: Convert to fraction form
    731.29/1,092.65 = 705.77/x
  3. Step 3: Cross multiply
    731.29x = 1,092.65 × 705.77
  4. Step 4: Simplify right side
    731.29x = 771,159.59
  5. Step 5: Solve for x
    x = 771,159.59/731.29
  6. Step 6: Final answer
    x = 1,054.52

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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.