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Finding the Fourth Proportional to 1,397.85, 2,095.75 and 575.83

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Solution

The fourth proportional to 1,397.85, 2,095.75 and 575.83 is: 863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.85 : 2,095.75 = 575.83 : x
  2. Step 2: Convert to fraction form
    1,397.85/2,095.75 = 575.83/x
  3. Step 3: Cross multiply
    1,397.85x = 2,095.75 × 575.83
  4. Step 4: Simplify right side
    1,397.85x = 1,206,795.72
  5. Step 5: Solve for x
    x = 1,206,795.72/1,397.85
  6. Step 6: Final answer
    x = 863.32

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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.