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Finding the Fourth Proportional to 788.16, 1,180.80 and 732

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Solution

The fourth proportional to 788.16, 1,180.80 and 732 is: 1,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.16 : 1,180.80 = 732 : x
  2. Step 2: Convert to fraction form
    788.16/1,180.80 = 732/x
  3. Step 3: Cross multiply
    788.16x = 1,180.80 × 732
  4. Step 4: Simplify right side
    788.16x = 864,345.60
  5. Step 5: Solve for x
    x = 864,345.60/788.16
  6. Step 6: Final answer
    x = 1,096.66

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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.