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Finding the Fourth Proportional to 1,456.62, 2,184.42 and 469.40

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Solution

The fourth proportional to 1,456.62, 2,184.42 and 469.40 is: 703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.62 : 2,184.42 = 469.40 : x
  2. Step 2: Convert to fraction form
    1,456.62/2,184.42 = 469.40/x
  3. Step 3: Cross multiply
    1,456.62x = 2,184.42 × 469.40
  4. Step 4: Simplify right side
    1,456.62x = 1,025,366.14
  5. Step 5: Solve for x
    x = 1,025,366.14/1,456.62
  6. Step 6: Final answer
    x = 703.93

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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.