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Finding the Fourth Proportional to 1,249.80, 1,875.29 and 469.88

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Solution

The fourth proportional to 1,249.80, 1,875.29 and 469.88 is: 705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.80 : 1,875.29 = 469.88 : x
  2. Step 2: Convert to fraction form
    1,249.80/1,875.29 = 469.88/x
  3. Step 3: Cross multiply
    1,249.80x = 1,875.29 × 469.88
  4. Step 4: Simplify right side
    1,249.80x = 881,149.54
  5. Step 5: Solve for x
    x = 881,149.54/1,249.80
  6. Step 6: Final answer
    x = 705.03

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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.