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Finding the Fourth Proportional to 932.69, 1,285.80 and 638.66

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Solution

The fourth proportional to 932.69, 1,285.80 and 638.66 is: 880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.69 : 1,285.80 = 638.66 : x
  2. Step 2: Convert to fraction form
    932.69/1,285.80 = 638.66/x
  3. Step 3: Cross multiply
    932.69x = 1,285.80 × 638.66
  4. Step 4: Simplify right side
    932.69x = 821,189.03
  5. Step 5: Solve for x
    x = 821,189.03/932.69
  6. Step 6: Final answer
    x = 880.45

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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.