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Finding the Fourth Proportional to 788.67, 1,088.57 and 457.31

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Solution

The fourth proportional to 788.67, 1,088.57 and 457.31 is: 631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.67 : 1,088.57 = 457.31 : x
  2. Step 2: Convert to fraction form
    788.67/1,088.57 = 457.31/x
  3. Step 3: Cross multiply
    788.67x = 1,088.57 × 457.31
  4. Step 4: Simplify right side
    788.67x = 497,806.22
  5. Step 5: Solve for x
    x = 497,806.22/788.67
  6. Step 6: Final answer
    x = 631.20

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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.