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Finding the Fourth Proportional to 1,553.09, 2,329.98 and 457.46

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Solution

The fourth proportional to 1,553.09, 2,329.98 and 457.46 is: 686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.09 : 2,329.98 = 457.46 : x
  2. Step 2: Convert to fraction form
    1,553.09/2,329.98 = 457.46/x
  3. Step 3: Cross multiply
    1,553.09x = 2,329.98 × 457.46
  4. Step 4: Simplify right side
    1,553.09x = 1,065,872.65
  5. Step 5: Solve for x
    x = 1,065,872.65/1,553.09
  6. Step 6: Final answer
    x = 686.29

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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.