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Finding the Fourth Proportional to 1,125.51, 1,679.66 and 1,002.49

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Solution

The fourth proportional to 1,125.51, 1,679.66 and 1,002.49 is: 1,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.51 : 1,679.66 = 1,002.49 : x
  2. Step 2: Convert to fraction form
    1,125.51/1,679.66 = 1,002.49/x
  3. Step 3: Cross multiply
    1,125.51x = 1,679.66 × 1,002.49
  4. Step 4: Simplify right side
    1,125.51x = 1,683,840.66
  5. Step 5: Solve for x
    x = 1,683,840.66/1,125.51
  6. Step 6: Final answer
    x = 1,496.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.