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Finding the Fourth Proportional to 738.66, 1,106.76 and 521.84

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Solution

The fourth proportional to 738.66, 1,106.76 and 521.84 is: 781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.66 : 1,106.76 = 521.84 : x
  2. Step 2: Convert to fraction form
    738.66/1,106.76 = 521.84/x
  3. Step 3: Cross multiply
    738.66x = 1,106.76 × 521.84
  4. Step 4: Simplify right side
    738.66x = 577,551.64
  5. Step 5: Solve for x
    x = 577,551.64/738.66
  6. Step 6: Final answer
    x = 781.89

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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.