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Finding the Fourth Proportional to 800.48, 1,103.37 and 632.15

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Solution

The fourth proportional to 800.48, 1,103.37 and 632.15 is: 871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.48 : 1,103.37 = 632.15 : x
  2. Step 2: Convert to fraction form
    800.48/1,103.37 = 632.15/x
  3. Step 3: Cross multiply
    800.48x = 1,103.37 × 632.15
  4. Step 4: Simplify right side
    800.48x = 697,489.83
  5. Step 5: Solve for x
    x = 697,489.83/800.48
  6. Step 6: Final answer
    x = 871.34

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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.