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Finding the Fourth Proportional to 784.42, 1,176.64 and 207.26

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Solution

The fourth proportional to 784.42, 1,176.64 and 207.26 is: 310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.42 : 1,176.64 = 207.26 : x
  2. Step 2: Convert to fraction form
    784.42/1,176.64 = 207.26/x
  3. Step 3: Cross multiply
    784.42x = 1,176.64 × 207.26
  4. Step 4: Simplify right side
    784.42x = 243,870.41
  5. Step 5: Solve for x
    x = 243,870.41/784.42
  6. Step 6: Final answer
    x = 310.89

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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.