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Finding the Fourth Proportional to 1,050.04, 1,567.67 and 867.79

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Solution

The fourth proportional to 1,050.04, 1,567.67 and 867.79 is: 1,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.04 : 1,567.67 = 867.79 : x
  2. Step 2: Convert to fraction form
    1,050.04/1,567.67 = 867.79/x
  3. Step 3: Cross multiply
    1,050.04x = 1,567.67 × 867.79
  4. Step 4: Simplify right side
    1,050.04x = 1,360,408.35
  5. Step 5: Solve for x
    x = 1,360,408.35/1,050.04
  6. Step 6: Final answer
    x = 1,295.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.