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Finding the Fourth Proportional to 1,052.34, 1,454.16 and 1,001.76

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Solution

The fourth proportional to 1,052.34, 1,454.16 and 1,001.76 is: 1,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.34 : 1,454.16 = 1,001.76 : x
  2. Step 2: Convert to fraction form
    1,052.34/1,454.16 = 1,001.76/x
  3. Step 3: Cross multiply
    1,052.34x = 1,454.16 × 1,001.76
  4. Step 4: Simplify right side
    1,052.34x = 1,456,719.32
  5. Step 5: Solve for x
    x = 1,456,719.32/1,052.34
  6. Step 6: Final answer
    x = 1,384.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.