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Finding the Fourth Proportional to 1,045.43, 1,561.18 and 984.68

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Solution

The fourth proportional to 1,045.43, 1,561.18 and 984.68 is: 1,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.43 : 1,561.18 = 984.68 : x
  2. Step 2: Convert to fraction form
    1,045.43/1,561.18 = 984.68/x
  3. Step 3: Cross multiply
    1,045.43x = 1,561.18 × 984.68
  4. Step 4: Simplify right side
    1,045.43x = 1,537,262.72
  5. Step 5: Solve for x
    x = 1,537,262.72/1,045.43
  6. Step 6: Final answer
    x = 1,470.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.