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Finding the Fourth Proportional to 1,202.22, 1,658.16 and 953.10

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Solution

The fourth proportional to 1,202.22, 1,658.16 and 953.10 is: 1,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.22 : 1,658.16 = 953.10 : x
  2. Step 2: Convert to fraction form
    1,202.22/1,658.16 = 953.10/x
  3. Step 3: Cross multiply
    1,202.22x = 1,658.16 × 953.10
  4. Step 4: Simplify right side
    1,202.22x = 1,580,392.30
  5. Step 5: Solve for x
    x = 1,580,392.30/1,202.22
  6. Step 6: Final answer
    x = 1,314.56

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1.5x scale

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.