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Finding the Fourth Proportional to 1,124.93, 1,549.13 and 875.84

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Solution

The fourth proportional to 1,124.93, 1,549.13 and 875.84 is: 1,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.93 : 1,549.13 = 875.84 : x
  2. Step 2: Convert to fraction form
    1,124.93/1,549.13 = 875.84/x
  3. Step 3: Cross multiply
    1,124.93x = 1,549.13 × 875.84
  4. Step 4: Simplify right side
    1,124.93x = 1,356,777.89
  5. Step 5: Solve for x
    x = 1,356,777.89/1,124.93
  6. Step 6: Final answer
    x = 1,206.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.