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Finding the Fourth Proportional to 784.56, 1,176.66 and 510.78

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Solution

The fourth proportional to 784.56, 1,176.66 and 510.78 is: 766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.56 : 1,176.66 = 510.78 : x
  2. Step 2: Convert to fraction form
    784.56/1,176.66 = 510.78/x
  3. Step 3: Cross multiply
    784.56x = 1,176.66 × 510.78
  4. Step 4: Simplify right side
    784.56x = 601,014.39
  5. Step 5: Solve for x
    x = 601,014.39/784.56
  6. Step 6: Final answer
    x = 766.05

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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.