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Finding the Fourth Proportional to 1,124.58, 1,686.87 and 837.84

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Solution

The fourth proportional to 1,124.58, 1,686.87 and 837.84 is: 1,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.58 : 1,686.87 = 837.84 : x
  2. Step 2: Convert to fraction form
    1,124.58/1,686.87 = 837.84/x
  3. Step 3: Cross multiply
    1,124.58x = 1,686.87 × 837.84
  4. Step 4: Simplify right side
    1,124.58x = 1,413,327.16
  5. Step 5: Solve for x
    x = 1,413,327.16/1,124.58
  6. Step 6: Final answer
    x = 1,256.76

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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.