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Finding the Fourth Proportional to 1,767.60, 2,651.13 and 597.55

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Solution

The fourth proportional to 1,767.60, 2,651.13 and 597.55 is: 896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.60 : 2,651.13 = 597.55 : x
  2. Step 2: Convert to fraction form
    1,767.60/2,651.13 = 597.55/x
  3. Step 3: Cross multiply
    1,767.60x = 2,651.13 × 597.55
  4. Step 4: Simplify right side
    1,767.60x = 1,584,188.53
  5. Step 5: Solve for x
    x = 1,584,188.53/1,767.60
  6. Step 6: Final answer
    x = 896.24

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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.