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Finding the Fourth Proportional to 748.55, 1,031.93 and 526.82

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Solution

The fourth proportional to 748.55, 1,031.93 and 526.82 is: 726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.55 : 1,031.93 = 526.82 : x
  2. Step 2: Convert to fraction form
    748.55/1,031.93 = 526.82/x
  3. Step 3: Cross multiply
    748.55x = 1,031.93 × 526.82
  4. Step 4: Simplify right side
    748.55x = 543,637.52
  5. Step 5: Solve for x
    x = 543,637.52/748.55
  6. Step 6: Final answer
    x = 726.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.