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Finding the Fourth Proportional to 1,284.66, 1,773.45 and 912.42

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Solution

The fourth proportional to 1,284.66, 1,773.45 and 912.42 is: 1,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.66 : 1,773.45 = 912.42 : x
  2. Step 2: Convert to fraction form
    1,284.66/1,773.45 = 912.42/x
  3. Step 3: Cross multiply
    1,284.66x = 1,773.45 × 912.42
  4. Step 4: Simplify right side
    1,284.66x = 1,618,131.25
  5. Step 5: Solve for x
    x = 1,618,131.25/1,284.66
  6. Step 6: Final answer
    x = 1,259.58

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Why These Related Problems?

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