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Finding the Fourth Proportional to 1,258.17, 1,887.15 and 425.16

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Solution

The fourth proportional to 1,258.17, 1,887.15 and 425.16 is: 637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.17 : 1,887.15 = 425.16 : x
  2. Step 2: Convert to fraction form
    1,258.17/1,887.15 = 425.16/x
  3. Step 3: Cross multiply
    1,258.17x = 1,887.15 × 425.16
  4. Step 4: Simplify right side
    1,258.17x = 802,340.69
  5. Step 5: Solve for x
    x = 802,340.69/1,258.17
  6. Step 6: Final answer
    x = 637.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.