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Finding the Fourth Proportional to 1,358.15, 1,875.78 and 915.28

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Solution

The fourth proportional to 1,358.15, 1,875.78 and 915.28 is: 1,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.15 : 1,875.78 = 915.28 : x
  2. Step 2: Convert to fraction form
    1,358.15/1,875.78 = 915.28/x
  3. Step 3: Cross multiply
    1,358.15x = 1,875.78 × 915.28
  4. Step 4: Simplify right side
    1,358.15x = 1,716,854.54
  5. Step 5: Solve for x
    x = 1,716,854.54/1,358.15
  6. Step 6: Final answer
    x = 1,264.12

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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.