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Finding the Fourth Proportional to 788.61, 1,182.23 and 398.28

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Solution

The fourth proportional to 788.61, 1,182.23 and 398.28 is: 597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.61 : 1,182.23 = 398.28 : x
  2. Step 2: Convert to fraction form
    788.61/1,182.23 = 398.28/x
  3. Step 3: Cross multiply
    788.61x = 1,182.23 × 398.28
  4. Step 4: Simplify right side
    788.61x = 470,862.50
  5. Step 5: Solve for x
    x = 470,862.50/788.61
  6. Step 6: Final answer
    x = 597.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.