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Finding the Fourth Proportional to 1,092.56, 1,488.80 and 1,088.72

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Solution

The fourth proportional to 1,092.56, 1,488.80 and 1,088.72 is: 1,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.56 : 1,488.80 = 1,088.72 : x
  2. Step 2: Convert to fraction form
    1,092.56/1,488.80 = 1,088.72/x
  3. Step 3: Cross multiply
    1,092.56x = 1,488.80 × 1,088.72
  4. Step 4: Simplify right side
    1,092.56x = 1,620,886.34
  5. Step 5: Solve for x
    x = 1,620,886.34/1,092.56
  6. Step 6: Final answer
    x = 1,483.57

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.