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Finding the Fourth Proportional to 971.66, 1,340.78 and 552.04

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Solution

The fourth proportional to 971.66, 1,340.78 and 552.04 is: 761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.66 : 1,340.78 = 552.04 : x
  2. Step 2: Convert to fraction form
    971.66/1,340.78 = 552.04/x
  3. Step 3: Cross multiply
    971.66x = 1,340.78 × 552.04
  4. Step 4: Simplify right side
    971.66x = 740,158.08
  5. Step 5: Solve for x
    x = 740,158.08/971.66
  6. Step 6: Final answer
    x = 761.74

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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.