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Finding the Fourth Proportional to 784.04, 1,176.40 and 492.21

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Solution

The fourth proportional to 784.04, 1,176.40 and 492.21 is: 738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.04 : 1,176.40 = 492.21 : x
  2. Step 2: Convert to fraction form
    784.04/1,176.40 = 492.21/x
  3. Step 3: Cross multiply
    784.04x = 1,176.40 × 492.21
  4. Step 4: Simplify right side
    784.04x = 579,035.84
  5. Step 5: Solve for x
    x = 579,035.84/784.04
  6. Step 6: Final answer
    x = 738.53

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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.