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Finding the Fourth Proportional to 971.78, 1,456.29 and 561.02

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Solution

The fourth proportional to 971.78, 1,456.29 and 561.02 is: 840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.78 : 1,456.29 = 561.02 : x
  2. Step 2: Convert to fraction form
    971.78/1,456.29 = 561.02/x
  3. Step 3: Cross multiply
    971.78x = 1,456.29 × 561.02
  4. Step 4: Simplify right side
    971.78x = 817,000.53
  5. Step 5: Solve for x
    x = 817,000.53/971.78
  6. Step 6: Final answer
    x = 840.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.