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Finding the Fourth Proportional to 1,052.36, 1,570.73 and 929.34

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Solution

The fourth proportional to 1,052.36, 1,570.73 and 929.34 is: 1,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.36 : 1,570.73 = 929.34 : x
  2. Step 2: Convert to fraction form
    1,052.36/1,570.73 = 929.34/x
  3. Step 3: Cross multiply
    1,052.36x = 1,570.73 × 929.34
  4. Step 4: Simplify right side
    1,052.36x = 1,459,737.57
  5. Step 5: Solve for x
    x = 1,459,737.57/1,052.36
  6. Step 6: Final answer
    x = 1,387.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.