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Finding the Fourth Proportional to 875.32, 1,306.61 and 817

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Solution

The fourth proportional to 875.32, 1,306.61 and 817 is: 1,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.32 : 1,306.61 = 817 : x
  2. Step 2: Convert to fraction form
    875.32/1,306.61 = 817/x
  3. Step 3: Cross multiply
    875.32x = 1,306.61 × 817
  4. Step 4: Simplify right side
    875.32x = 1,067,500.37
  5. Step 5: Solve for x
    x = 1,067,500.37/875.32
  6. Step 6: Final answer
    x = 1,219.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.