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Finding the Fourth Proportional to 959.78, 1,432.18 and 856.35

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Solution

The fourth proportional to 959.78, 1,432.18 and 856.35 is: 1,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.78 : 1,432.18 = 856.35 : x
  2. Step 2: Convert to fraction form
    959.78/1,432.18 = 856.35/x
  3. Step 3: Cross multiply
    959.78x = 1,432.18 × 856.35
  4. Step 4: Simplify right side
    959.78x = 1,226,445.20
  5. Step 5: Solve for x
    x = 1,226,445.20/959.78
  6. Step 6: Final answer
    x = 1,277.84

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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.