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Finding the Fourth Proportional to 1,092.96, 1,507.28 and 983.61

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Solution

The fourth proportional to 1,092.96, 1,507.28 and 983.61 is: 1,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.96 : 1,507.28 = 983.61 : x
  2. Step 2: Convert to fraction form
    1,092.96/1,507.28 = 983.61/x
  3. Step 3: Cross multiply
    1,092.96x = 1,507.28 × 983.61
  4. Step 4: Simplify right side
    1,092.96x = 1,482,570.76
  5. Step 5: Solve for x
    x = 1,482,570.76/1,092.96
  6. Step 6: Final answer
    x = 1,356.47

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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.