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Finding the Fourth Proportional to 1,284.78, 1,927.17 and 554.70

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Solution

The fourth proportional to 1,284.78, 1,927.17 and 554.70 is: 832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.78 : 1,927.17 = 554.70 : x
  2. Step 2: Convert to fraction form
    1,284.78/1,927.17 = 554.70/x
  3. Step 3: Cross multiply
    1,284.78x = 1,927.17 × 554.70
  4. Step 4: Simplify right side
    1,284.78x = 1,069,001.20
  5. Step 5: Solve for x
    x = 1,069,001.20/1,284.78
  6. Step 6: Final answer
    x = 832.05

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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.