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Finding the Fourth Proportional to 1,095.32, 1,643.02 and 747.83

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Solution

The fourth proportional to 1,095.32, 1,643.02 and 747.83 is: 1,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.32 : 1,643.02 = 747.83 : x
  2. Step 2: Convert to fraction form
    1,095.32/1,643.02 = 747.83/x
  3. Step 3: Cross multiply
    1,095.32x = 1,643.02 × 747.83
  4. Step 4: Simplify right side
    1,095.32x = 1,228,701.88
  5. Step 5: Solve for x
    x = 1,228,701.88/1,095.32
  6. Step 6: Final answer
    x = 1,121.77

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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.