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Finding the Fourth Proportional to 1,114.47, 1,659.03 and 1,061.40

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Solution

The fourth proportional to 1,114.47, 1,659.03 and 1,061.40 is: 1,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.47 : 1,659.03 = 1,061.40 : x
  2. Step 2: Convert to fraction form
    1,114.47/1,659.03 = 1,061.40/x
  3. Step 3: Cross multiply
    1,114.47x = 1,659.03 × 1,061.40
  4. Step 4: Simplify right side
    1,114.47x = 1,760,894.44
  5. Step 5: Solve for x
    x = 1,760,894.44/1,114.47
  6. Step 6: Final answer
    x = 1,580.03

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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.