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Finding the Fourth Proportional to 918.86, 1,268.45 and 587.74

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Solution

The fourth proportional to 918.86, 1,268.45 and 587.74 is: 811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.86 : 1,268.45 = 587.74 : x
  2. Step 2: Convert to fraction form
    918.86/1,268.45 = 587.74/x
  3. Step 3: Cross multiply
    918.86x = 1,268.45 × 587.74
  4. Step 4: Simplify right side
    918.86x = 745,512.69
  5. Step 5: Solve for x
    x = 745,512.69/918.86
  6. Step 6: Final answer
    x = 811.35

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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.