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Finding the Fourth Proportional to 1,202.93, 1,658.26 and 954.31

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Solution

The fourth proportional to 1,202.93, 1,658.26 and 954.31 is: 1,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.93 : 1,658.26 = 954.31 : x
  2. Step 2: Convert to fraction form
    1,202.93/1,658.26 = 954.31/x
  3. Step 3: Cross multiply
    1,202.93x = 1,658.26 × 954.31
  4. Step 4: Simplify right side
    1,202.93x = 1,582,488.89
  5. Step 5: Solve for x
    x = 1,582,488.89/1,202.93
  6. Step 6: Final answer
    x = 1,315.53

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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.