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Finding the Fourth Proportional to 1,648.61, 2,474.16 and 783.53

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Solution

The fourth proportional to 1,648.61, 2,474.16 and 783.53 is: 1,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.61 : 2,474.16 = 783.53 : x
  2. Step 2: Convert to fraction form
    1,648.61/2,474.16 = 783.53/x
  3. Step 3: Cross multiply
    1,648.61x = 2,474.16 × 783.53
  4. Step 4: Simplify right side
    1,648.61x = 1,938,578.58
  5. Step 5: Solve for x
    x = 1,938,578.58/1,648.61
  6. Step 6: Final answer
    x = 1,175.89

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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.