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Finding the Fourth Proportional to 1,029.84, 1,543.80 and 380.40

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Solution

The fourth proportional to 1,029.84, 1,543.80 and 380.40 is: 570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.84 : 1,543.80 = 380.40 : x
  2. Step 2: Convert to fraction form
    1,029.84/1,543.80 = 380.40/x
  3. Step 3: Cross multiply
    1,029.84x = 1,543.80 × 380.40
  4. Step 4: Simplify right side
    1,029.84x = 587,261.52
  5. Step 5: Solve for x
    x = 587,261.52/1,029.84
  6. Step 6: Final answer
    x = 570.25

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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.