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Finding the Fourth Proportional to 1,142.72, 1,714.40 and 970.60

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Solution

The fourth proportional to 1,142.72, 1,714.40 and 970.60 is: 1,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.72 : 1,714.40 = 970.60 : x
  2. Step 2: Convert to fraction form
    1,142.72/1,714.40 = 970.60/x
  3. Step 3: Cross multiply
    1,142.72x = 1,714.40 × 970.60
  4. Step 4: Simplify right side
    1,142.72x = 1,663,996.64
  5. Step 5: Solve for x
    x = 1,663,996.64/1,142.72
  6. Step 6: Final answer
    x = 1,456.17

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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.