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Finding the Fourth Proportional to 1,029.48, 1,543.28 and 412.80

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Solution

The fourth proportional to 1,029.48, 1,543.28 and 412.80 is: 618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.48 : 1,543.28 = 412.80 : x
  2. Step 2: Convert to fraction form
    1,029.48/1,543.28 = 412.80/x
  3. Step 3: Cross multiply
    1,029.48x = 1,543.28 × 412.80
  4. Step 4: Simplify right side
    1,029.48x = 637,063.92
  5. Step 5: Solve for x
    x = 637,063.92/1,029.48
  6. Step 6: Final answer
    x = 618.82

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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.