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Finding the Fourth Proportional to 788.23, 1,087.86 and 456.76

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Solution

The fourth proportional to 788.23, 1,087.86 and 456.76 is: 630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.23 : 1,087.86 = 456.76 : x
  2. Step 2: Convert to fraction form
    788.23/1,087.86 = 456.76/x
  3. Step 3: Cross multiply
    788.23x = 1,087.86 × 456.76
  4. Step 4: Simplify right side
    788.23x = 496,890.93
  5. Step 5: Solve for x
    x = 496,890.93/788.23
  6. Step 6: Final answer
    x = 630.39

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Double 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.