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Finding the Fourth Proportional to 822.04, 1,230.72 and 738.76

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Solution

The fourth proportional to 822.04, 1,230.72 and 738.76 is: 1,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.04 : 1,230.72 = 738.76 : x
  2. Step 2: Convert to fraction form
    822.04/1,230.72 = 738.76/x
  3. Step 3: Cross multiply
    822.04x = 1,230.72 × 738.76
  4. Step 4: Simplify right side
    822.04x = 909,206.71
  5. Step 5: Solve for x
    x = 909,206.71/822.04
  6. Step 6: Final answer
    x = 1,106.04

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