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Finding the Fourth Proportional to 1,115.60, 1,539.63 and 928.76

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Solution

The fourth proportional to 1,115.60, 1,539.63 and 928.76 is: 1,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.60 : 1,539.63 = 928.76 : x
  2. Step 2: Convert to fraction form
    1,115.60/1,539.63 = 928.76/x
  3. Step 3: Cross multiply
    1,115.60x = 1,539.63 × 928.76
  4. Step 4: Simplify right side
    1,115.60x = 1,429,939.06
  5. Step 5: Solve for x
    x = 1,429,939.06/1,115.60
  6. Step 6: Final answer
    x = 1,281.77

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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.