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Finding the Fourth Proportional to 1,130.91, 1,567.88 and 1,090.82

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Solution

The fourth proportional to 1,130.91, 1,567.88 and 1,090.82 is: 1,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.91 : 1,567.88 = 1,090.82 : x
  2. Step 2: Convert to fraction form
    1,130.91/1,567.88 = 1,090.82/x
  3. Step 3: Cross multiply
    1,130.91x = 1,567.88 × 1,090.82
  4. Step 4: Simplify right side
    1,130.91x = 1,710,261.57
  5. Step 5: Solve for x
    x = 1,710,261.57/1,130.91
  6. Step 6: Final answer
    x = 1,512.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.