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Finding the Fourth Proportional to 1,110.48, 1,664.64 and 461.40

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Solution

The fourth proportional to 1,110.48, 1,664.64 and 461.40 is: 691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.48 : 1,664.64 = 461.40 : x
  2. Step 2: Convert to fraction form
    1,110.48/1,664.64 = 461.40/x
  3. Step 3: Cross multiply
    1,110.48x = 1,664.64 × 461.40
  4. Step 4: Simplify right side
    1,110.48x = 768,064.90
  5. Step 5: Solve for x
    x = 768,064.90/1,110.48
  6. Step 6: Final answer
    x = 691.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.