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Finding the Fourth Proportional to 1,076.19, 1,484.96 and 928.50

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Solution

The fourth proportional to 1,076.19, 1,484.96 and 928.50 is: 1,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.19 : 1,484.96 = 928.50 : x
  2. Step 2: Convert to fraction form
    1,076.19/1,484.96 = 928.50/x
  3. Step 3: Cross multiply
    1,076.19x = 1,484.96 × 928.50
  4. Step 4: Simplify right side
    1,076.19x = 1,378,785.36
  5. Step 5: Solve for x
    x = 1,378,785.36/1,076.19
  6. Step 6: Final answer
    x = 1,281.17

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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.