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Finding the Fourth Proportional to 871.83, 1,307.72 and 255.55

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Solution

The fourth proportional to 871.83, 1,307.72 and 255.55 is: 383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.83 : 1,307.72 = 255.55 : x
  2. Step 2: Convert to fraction form
    871.83/1,307.72 = 255.55/x
  3. Step 3: Cross multiply
    871.83x = 1,307.72 × 255.55
  4. Step 4: Simplify right side
    871.83x = 334,187.85
  5. Step 5: Solve for x
    x = 334,187.85/871.83
  6. Step 6: Final answer
    x = 383.32

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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.