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Finding the Fourth Proportional to 1,092.16, 1,507.16 and 594.81

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Solution

The fourth proportional to 1,092.16, 1,507.16 and 594.81 is: 820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.16 : 1,507.16 = 594.81 : x
  2. Step 2: Convert to fraction form
    1,092.16/1,507.16 = 594.81/x
  3. Step 3: Cross multiply
    1,092.16x = 1,507.16 × 594.81
  4. Step 4: Simplify right side
    1,092.16x = 896,463.33
  5. Step 5: Solve for x
    x = 896,463.33/1,092.16
  6. Step 6: Final answer
    x = 820.82

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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.