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Finding the Fourth Proportional to 784.15, 1,176.05 and 345.53

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Solution

The fourth proportional to 784.15, 1,176.05 and 345.53 is: 518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.15 : 1,176.05 = 345.53 : x
  2. Step 2: Convert to fraction form
    784.15/1,176.05 = 345.53/x
  3. Step 3: Cross multiply
    784.15x = 1,176.05 × 345.53
  4. Step 4: Simplify right side
    784.15x = 406,364.36
  5. Step 5: Solve for x
    x = 406,364.36/784.15
  6. Step 6: Final answer
    x = 518.22

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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.