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Finding the Fourth Proportional to 1,281.16, 1,765.93 and 1,000.91

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Solution

The fourth proportional to 1,281.16, 1,765.93 and 1,000.91 is: 1,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.16 : 1,765.93 = 1,000.91 : x
  2. Step 2: Convert to fraction form
    1,281.16/1,765.93 = 1,000.91/x
  3. Step 3: Cross multiply
    1,281.16x = 1,765.93 × 1,000.91
  4. Step 4: Simplify right side
    1,281.16x = 1,767,537.00
  5. Step 5: Solve for x
    x = 1,767,537.00/1,281.16
  6. Step 6: Final answer
    x = 1,379.64

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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.