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Finding the Fourth Proportional to 1,034.18, 1,551.36 and 384.76

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Solution

The fourth proportional to 1,034.18, 1,551.36 and 384.76 is: 577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.18 : 1,551.36 = 384.76 : x
  2. Step 2: Convert to fraction form
    1,034.18/1,551.36 = 384.76/x
  3. Step 3: Cross multiply
    1,034.18x = 1,551.36 × 384.76
  4. Step 4: Simplify right side
    1,034.18x = 596,901.27
  5. Step 5: Solve for x
    x = 596,901.27/1,034.18
  6. Step 6: Final answer
    x = 577.17

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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.