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Finding the Fourth Proportional to 1,077.58, 1,613.88 and 643.78

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Solution

The fourth proportional to 1,077.58, 1,613.88 and 643.78 is: 964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.58 : 1,613.88 = 643.78 : x
  2. Step 2: Convert to fraction form
    1,077.58/1,613.88 = 643.78/x
  3. Step 3: Cross multiply
    1,077.58x = 1,613.88 × 643.78
  4. Step 4: Simplify right side
    1,077.58x = 1,038,983.67
  5. Step 5: Solve for x
    x = 1,038,983.67/1,077.58
  6. Step 6: Final answer
    x = 964.18

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Why These Related Problems?

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