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Finding the Fourth Proportional to 785.92, 1,085.46 and 491.44

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Solution

The fourth proportional to 785.92, 1,085.46 and 491.44 is: 678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.92 : 1,085.46 = 491.44 : x
  2. Step 2: Convert to fraction form
    785.92/1,085.46 = 491.44/x
  3. Step 3: Cross multiply
    785.92x = 1,085.46 × 491.44
  4. Step 4: Simplify right side
    785.92x = 533,438.46
  5. Step 5: Solve for x
    x = 533,438.46/785.92
  6. Step 6: Final answer
    x = 678.74

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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.