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Finding the Fourth Proportional to 1,359.84, 1,875.28 and 912.72

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Solution

The fourth proportional to 1,359.84, 1,875.28 and 912.72 is: 1,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.84 : 1,875.28 = 912.72 : x
  2. Step 2: Convert to fraction form
    1,359.84/1,875.28 = 912.72/x
  3. Step 3: Cross multiply
    1,359.84x = 1,875.28 × 912.72
  4. Step 4: Simplify right side
    1,359.84x = 1,711,605.56
  5. Step 5: Solve for x
    x = 1,711,605.56/1,359.84
  6. Step 6: Final answer
    x = 1,258.68

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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.