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Finding the Fourth Proportional to 784.42, 1,069 and 781.54

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Solution

The fourth proportional to 784.42, 1,069 and 781.54 is: 1,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.42 : 1,069 = 781.54 : x
  2. Step 2: Convert to fraction form
    784.42/1,069 = 781.54/x
  3. Step 3: Cross multiply
    784.42x = 1,069 × 781.54
  4. Step 4: Simplify right side
    784.42x = 835,466.26
  5. Step 5: Solve for x
    x = 835,466.26/784.42
  6. Step 6: Final answer
    x = 1,065.08

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.