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Finding the Fourth Proportional to 1,429.61, 2,144.51 and 564.53

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Solution

The fourth proportional to 1,429.61, 2,144.51 and 564.53 is: 846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.61 : 2,144.51 = 564.53 : x
  2. Step 2: Convert to fraction form
    1,429.61/2,144.51 = 564.53/x
  3. Step 3: Cross multiply
    1,429.61x = 2,144.51 × 564.53
  4. Step 4: Simplify right side
    1,429.61x = 1,210,640.23
  5. Step 5: Solve for x
    x = 1,210,640.23/1,429.61
  6. Step 6: Final answer
    x = 846.83

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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.