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Finding the Fourth Proportional to 751.34, 1,034.93 and 529.91

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Solution

The fourth proportional to 751.34, 1,034.93 and 529.91 is: 729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.34 : 1,034.93 = 529.91 : x
  2. Step 2: Convert to fraction form
    751.34/1,034.93 = 529.91/x
  3. Step 3: Cross multiply
    751.34x = 1,034.93 × 529.91
  4. Step 4: Simplify right side
    751.34x = 548,411.93
  5. Step 5: Solve for x
    x = 548,411.93/751.34
  6. Step 6: Final answer
    x = 729.91

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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.