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Finding the Fourth Proportional to 971.65, 1,458.02 and 538.75

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Solution

The fourth proportional to 971.65, 1,458.02 and 538.75 is: 808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.65 : 1,458.02 = 538.75 : x
  2. Step 2: Convert to fraction form
    971.65/1,458.02 = 538.75/x
  3. Step 3: Cross multiply
    971.65x = 1,458.02 × 538.75
  4. Step 4: Simplify right side
    971.65x = 785,505.58
  5. Step 5: Solve for x
    x = 785,505.58/971.65
  6. Step 6: Final answer
    x = 808.42

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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.