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Finding the Fourth Proportional to 971, 1,339.94 and 528.91

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Solution

The fourth proportional to 971, 1,339.94 and 528.91 is: 729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    971 : 1,339.94 = 528.91 : x
  2. Step 2: Convert to fraction form
    971/1,339.94 = 528.91/x
  3. Step 3: Cross multiply
    971x = 1,339.94 × 528.91
  4. Step 4: Simplify right side
    971x = 708,700.97
  5. Step 5: Solve for x
    x = 708,700.97/971
  6. Step 6: Final answer
    x = 729.87

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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.