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Finding the Fourth Proportional to 871.80, 1,203.08 and 473.46

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Solution

The fourth proportional to 871.80, 1,203.08 and 473.46 is: 653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.80 : 1,203.08 = 473.46 : x
  2. Step 2: Convert to fraction form
    871.80/1,203.08 = 473.46/x
  3. Step 3: Cross multiply
    871.80x = 1,203.08 × 473.46
  4. Step 4: Simplify right side
    871.80x = 569,607.89
  5. Step 5: Solve for x
    x = 569,607.89/871.80
  6. Step 6: Final answer
    x = 653.37

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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.