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Finding the Fourth Proportional to 739, 1,106.54 and 592.06

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Solution

The fourth proportional to 739, 1,106.54 and 592.06 is: 886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    739 : 1,106.54 = 592.06 : x
  2. Step 2: Convert to fraction form
    739/1,106.54 = 592.06/x
  3. Step 3: Cross multiply
    739x = 1,106.54 × 592.06
  4. Step 4: Simplify right side
    739x = 655,138.07
  5. Step 5: Solve for x
    x = 655,138.07/739
  6. Step 6: Final answer
    x = 886.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.