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Finding the Fourth Proportional to 1,202.34, 1,658.12 and 828.72

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Solution

The fourth proportional to 1,202.34, 1,658.12 and 828.72 is: 1,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.34 : 1,658.12 = 828.72 : x
  2. Step 2: Convert to fraction form
    1,202.34/1,658.12 = 828.72/x
  3. Step 3: Cross multiply
    1,202.34x = 1,658.12 × 828.72
  4. Step 4: Simplify right side
    1,202.34x = 1,374,117.21
  5. Step 5: Solve for x
    x = 1,374,117.21/1,202.34
  6. Step 6: Final answer
    x = 1,142.87

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Half scale
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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.