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Finding the Fourth Proportional to 1,061.91, 1,465.90 and 826.50

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Solution

The fourth proportional to 1,061.91, 1,465.90 and 826.50 is: 1,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.91 : 1,465.90 = 826.50 : x
  2. Step 2: Convert to fraction form
    1,061.91/1,465.90 = 826.50/x
  3. Step 3: Cross multiply
    1,061.91x = 1,465.90 × 826.50
  4. Step 4: Simplify right side
    1,061.91x = 1,211,569.78
  5. Step 5: Solve for x
    x = 1,211,569.78/1,061.91
  6. Step 6: Final answer
    x = 1,140.93

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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.