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Finding the Fourth Proportional to 811.50, 1,118.93 and 654.77

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Solution

The fourth proportional to 811.50, 1,118.93 and 654.77 is: 902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.50 : 1,118.93 = 654.77 : x
  2. Step 2: Convert to fraction form
    811.50/1,118.93 = 654.77/x
  3. Step 3: Cross multiply
    811.50x = 1,118.93 × 654.77
  4. Step 4: Simplify right side
    811.50x = 732,632.93
  5. Step 5: Solve for x
    x = 732,632.93/811.50
  6. Step 6: Final answer
    x = 902.81

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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.