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Finding the Fourth Proportional to 738.88, 1,106.88 and 592.96

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Solution

The fourth proportional to 738.88, 1,106.88 and 592.96 is: 888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.88 : 1,106.88 = 592.96 : x
  2. Step 2: Convert to fraction form
    738.88/1,106.88 = 592.96/x
  3. Step 3: Cross multiply
    738.88x = 1,106.88 × 592.96
  4. Step 4: Simplify right side
    738.88x = 656,335.56
  5. Step 5: Solve for x
    x = 656,335.56/738.88
  6. Step 6: Final answer
    x = 888.28

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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.