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Finding the Fourth Proportional to 1,146.03, 1,580.81 and 697.79

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Solution

The fourth proportional to 1,146.03, 1,580.81 and 697.79 is: 962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.03 : 1,580.81 = 697.79 : x
  2. Step 2: Convert to fraction form
    1,146.03/1,580.81 = 697.79/x
  3. Step 3: Cross multiply
    1,146.03x = 1,580.81 × 697.79
  4. Step 4: Simplify right side
    1,146.03x = 1,103,062.02
  5. Step 5: Solve for x
    x = 1,103,062.02/1,146.03
  6. Step 6: Final answer
    x = 962.51

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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.