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Finding the Fourth Proportional to 1,155.42, 1,731.63 and 880.50

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Solution

The fourth proportional to 1,155.42, 1,731.63 and 880.50 is: 1,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.42 : 1,731.63 = 880.50 : x
  2. Step 2: Convert to fraction form
    1,155.42/1,731.63 = 880.50/x
  3. Step 3: Cross multiply
    1,155.42x = 1,731.63 × 880.50
  4. Step 4: Simplify right side
    1,155.42x = 1,524,700.22
  5. Step 5: Solve for x
    x = 1,524,700.22/1,155.42
  6. Step 6: Final answer
    x = 1,319.61

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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.