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Finding the Fourth Proportional to 1,454.86, 2,182.32 and 529.84

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Solution

The fourth proportional to 1,454.86, 2,182.32 and 529.84 is: 794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.86 : 2,182.32 = 529.84 : x
  2. Step 2: Convert to fraction form
    1,454.86/2,182.32 = 529.84/x
  3. Step 3: Cross multiply
    1,454.86x = 2,182.32 × 529.84
  4. Step 4: Simplify right side
    1,454.86x = 1,156,280.43
  5. Step 5: Solve for x
    x = 1,156,280.43/1,454.86
  6. Step 6: Final answer
    x = 794.77

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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.