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Finding the Fourth Proportional to 919.49, 1,378.17 and 457.58

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Solution

The fourth proportional to 919.49, 1,378.17 and 457.58 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.49 : 1,378.17 = 457.58 : x
  2. Step 2: Convert to fraction form
    919.49/1,378.17 = 457.58/x
  3. Step 3: Cross multiply
    919.49x = 1,378.17 × 457.58
  4. Step 4: Simplify right side
    919.49x = 630,626.47
  5. Step 5: Solve for x
    x = 630,626.47/919.49
  6. Step 6: Final answer
    x = 685.85

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Double scale
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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.