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Finding the Fourth Proportional to 1,341.88, 2,013 and 476.20

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Solution

The fourth proportional to 1,341.88, 2,013 and 476.20 is: 714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.88 : 2,013 = 476.20 : x
  2. Step 2: Convert to fraction form
    1,341.88/2,013 = 476.20/x
  3. Step 3: Cross multiply
    1,341.88x = 2,013 × 476.20
  4. Step 4: Simplify right side
    1,341.88x = 958,590.60
  5. Step 5: Solve for x
    x = 958,590.60/1,341.88
  6. Step 6: Final answer
    x = 714.36

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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.