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Finding the Fourth Proportional to 738.88, 1,106.35 and 591.94

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Solution

The fourth proportional to 738.88, 1,106.35 and 591.94 is: 886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.88 : 1,106.35 = 591.94 : x
  2. Step 2: Convert to fraction form
    738.88/1,106.35 = 591.94/x
  3. Step 3: Cross multiply
    738.88x = 1,106.35 × 591.94
  4. Step 4: Simplify right side
    738.88x = 654,892.82
  5. Step 5: Solve for x
    x = 654,892.82/738.88
  6. Step 6: Final answer
    x = 886.33

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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.