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Finding the Fourth Proportional to 925.32, 1,381.35 and 857.82

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Solution

The fourth proportional to 925.32, 1,381.35 and 857.82 is: 1,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.32 : 1,381.35 = 857.82 : x
  2. Step 2: Convert to fraction form
    925.32/1,381.35 = 857.82/x
  3. Step 3: Cross multiply
    925.32x = 1,381.35 × 857.82
  4. Step 4: Simplify right side
    925.32x = 1,184,938.46
  5. Step 5: Solve for x
    x = 1,184,938.46/925.32
  6. Step 6: Final answer
    x = 1,280.58

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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.