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Finding the Fourth Proportional to 1,019.67, 1,406.84 and 626.55

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Solution

The fourth proportional to 1,019.67, 1,406.84 and 626.55 is: 864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.67 : 1,406.84 = 626.55 : x
  2. Step 2: Convert to fraction form
    1,019.67/1,406.84 = 626.55/x
  3. Step 3: Cross multiply
    1,019.67x = 1,406.84 × 626.55
  4. Step 4: Simplify right side
    1,019.67x = 881,452.47
  5. Step 5: Solve for x
    x = 881,452.47/1,019.67
  6. Step 6: Final answer
    x = 864.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.