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Finding the Fourth Proportional to 1,456.53, 2,184.09 and 469.14

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Solution

The fourth proportional to 1,456.53, 2,184.09 and 469.14 is: 703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.53 : 2,184.09 = 469.14 : x
  2. Step 2: Convert to fraction form
    1,456.53/2,184.09 = 469.14/x
  3. Step 3: Cross multiply
    1,456.53x = 2,184.09 × 469.14
  4. Step 4: Simplify right side
    1,456.53x = 1,024,643.98
  5. Step 5: Solve for x
    x = 1,024,643.98/1,456.53
  6. Step 6: Final answer
    x = 703.48

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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.