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Finding the Fourth Proportional to 971.07, 1,456.88 and 538.53

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Solution

The fourth proportional to 971.07, 1,456.88 and 538.53 is: 807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.07 : 1,456.88 = 538.53 : x
  2. Step 2: Convert to fraction form
    971.07/1,456.88 = 538.53/x
  3. Step 3: Cross multiply
    971.07x = 1,456.88 × 538.53
  4. Step 4: Simplify right side
    971.07x = 784,570.89
  5. Step 5: Solve for x
    x = 784,570.89/971.07
  6. Step 6: Final answer
    x = 807.94

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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.