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Finding the Fourth Proportional to 1,358.78, 1,875.12 and 737.78

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Solution

The fourth proportional to 1,358.78, 1,875.12 and 737.78 is: 1,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.78 : 1,875.12 = 737.78 : x
  2. Step 2: Convert to fraction form
    1,358.78/1,875.12 = 737.78/x
  3. Step 3: Cross multiply
    1,358.78x = 1,875.12 × 737.78
  4. Step 4: Simplify right side
    1,358.78x = 1,383,426.03
  5. Step 5: Solve for x
    x = 1,383,426.03/1,358.78
  6. Step 6: Final answer
    x = 1,018.14

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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.