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Finding the Fourth Proportional to 1,258.47, 1,887.01 and 517.88

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Solution

The fourth proportional to 1,258.47, 1,887.01 and 517.88 is: 776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.47 : 1,887.01 = 517.88 : x
  2. Step 2: Convert to fraction form
    1,258.47/1,887.01 = 517.88/x
  3. Step 3: Cross multiply
    1,258.47x = 1,887.01 × 517.88
  4. Step 4: Simplify right side
    1,258.47x = 977,248.16
  5. Step 5: Solve for x
    x = 977,248.16/1,258.47
  6. Step 6: Final answer
    x = 776.54

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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.