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Finding the Fourth Proportional to 1,032.93, 1,416.11 and 1,014.53

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Solution

The fourth proportional to 1,032.93, 1,416.11 and 1,014.53 is: 1,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.93 : 1,416.11 = 1,014.53 : x
  2. Step 2: Convert to fraction form
    1,032.93/1,416.11 = 1,014.53/x
  3. Step 3: Cross multiply
    1,032.93x = 1,416.11 × 1,014.53
  4. Step 4: Simplify right side
    1,032.93x = 1,436,673.93
  5. Step 5: Solve for x
    x = 1,436,673.93/1,032.93
  6. Step 6: Final answer
    x = 1,390.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.