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Finding the Fourth Proportional to 788.16, 1,087.71 and 456.69

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Solution

The fourth proportional to 788.16, 1,087.71 and 456.69 is: 630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.16 : 1,087.71 = 456.69 : x
  2. Step 2: Convert to fraction form
    788.16/1,087.71 = 456.69/x
  3. Step 3: Cross multiply
    788.16x = 1,087.71 × 456.69
  4. Step 4: Simplify right side
    788.16x = 496,746.28
  5. Step 5: Solve for x
    x = 496,746.28/788.16
  6. Step 6: Final answer
    x = 630.26

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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.