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Finding the Fourth Proportional to 785.77, 1,084.39 and 431.72

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Solution

The fourth proportional to 785.77, 1,084.39 and 431.72 is: 595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.77 : 1,084.39 = 431.72 : x
  2. Step 2: Convert to fraction form
    785.77/1,084.39 = 431.72/x
  3. Step 3: Cross multiply
    785.77x = 1,084.39 × 431.72
  4. Step 4: Simplify right side
    785.77x = 468,152.85
  5. Step 5: Solve for x
    x = 468,152.85/785.77
  6. Step 6: Final answer
    x = 595.79

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1.5x scale

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.