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Finding the Fourth Proportional to 1,240.50, 1,860.84 and 471

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Solution

The fourth proportional to 1,240.50, 1,860.84 and 471 is: 706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.50 : 1,860.84 = 471 : x
  2. Step 2: Convert to fraction form
    1,240.50/1,860.84 = 471/x
  3. Step 3: Cross multiply
    1,240.50x = 1,860.84 × 471
  4. Step 4: Simplify right side
    1,240.50x = 876,455.64
  5. Step 5: Solve for x
    x = 876,455.64/1,240.50
  6. Step 6: Final answer
    x = 706.53

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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.