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Finding the Fourth Proportional to 1,061.93, 1,590.45 and 769.79

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Solution

The fourth proportional to 1,061.93, 1,590.45 and 769.79 is: 1,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.93 : 1,590.45 = 769.79 : x
  2. Step 2: Convert to fraction form
    1,061.93/1,590.45 = 769.79/x
  3. Step 3: Cross multiply
    1,061.93x = 1,590.45 × 769.79
  4. Step 4: Simplify right side
    1,061.93x = 1,224,304.55
  5. Step 5: Solve for x
    x = 1,224,304.55/1,061.93
  6. Step 6: Final answer
    x = 1,152.91

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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.