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Finding the Fourth Proportional to 1,177.55, 1,766.48 and 684.19

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Solution

The fourth proportional to 1,177.55, 1,766.48 and 684.19 is: 1,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.55 : 1,766.48 = 684.19 : x
  2. Step 2: Convert to fraction form
    1,177.55/1,766.48 = 684.19/x
  3. Step 3: Cross multiply
    1,177.55x = 1,766.48 × 684.19
  4. Step 4: Simplify right side
    1,177.55x = 1,208,607.95
  5. Step 5: Solve for x
    x = 1,208,607.95/1,177.55
  6. Step 6: Final answer
    x = 1,026.38

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1.5x scale

Why These Related Problems?

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