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Finding the Fourth Proportional to 875.32, 1,209.40 and 866.68

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Solution

The fourth proportional to 875.32, 1,209.40 and 866.68 is: 1,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.32 : 1,209.40 = 866.68 : x
  2. Step 2: Convert to fraction form
    875.32/1,209.40 = 866.68/x
  3. Step 3: Cross multiply
    875.32x = 1,209.40 × 866.68
  4. Step 4: Simplify right side
    875.32x = 1,048,162.79
  5. Step 5: Solve for x
    x = 1,048,162.79/875.32
  6. Step 6: Final answer
    x = 1,197.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.