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Finding the Fourth Proportional to 1,172.55, 1,758.79 and 1,043.74

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Solution

The fourth proportional to 1,172.55, 1,758.79 and 1,043.74 is: 1,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.55 : 1,758.79 = 1,043.74 : x
  2. Step 2: Convert to fraction form
    1,172.55/1,758.79 = 1,043.74/x
  3. Step 3: Cross multiply
    1,172.55x = 1,758.79 × 1,043.74
  4. Step 4: Simplify right side
    1,172.55x = 1,835,719.47
  5. Step 5: Solve for x
    x = 1,835,719.47/1,172.55
  6. Step 6: Final answer
    x = 1,565.58

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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.