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Finding the Fourth Proportional to 1,112.27, 1,665.32 and 561.76

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Solution

The fourth proportional to 1,112.27, 1,665.32 and 561.76 is: 841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.27 : 1,665.32 = 561.76 : x
  2. Step 2: Convert to fraction form
    1,112.27/1,665.32 = 561.76/x
  3. Step 3: Cross multiply
    1,112.27x = 1,665.32 × 561.76
  4. Step 4: Simplify right side
    1,112.27x = 935,510.16
  5. Step 5: Solve for x
    x = 935,510.16/1,112.27
  6. Step 6: Final answer
    x = 841.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.