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Finding the Fourth Proportional to 919.76, 1,378.76 and 457.25

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Solution

The fourth proportional to 919.76, 1,378.76 and 457.25 is: 685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.76 : 1,378.76 = 457.25 : x
  2. Step 2: Convert to fraction form
    919.76/1,378.76 = 457.25/x
  3. Step 3: Cross multiply
    919.76x = 1,378.76 × 457.25
  4. Step 4: Simplify right side
    919.76x = 630,428.83
  5. Step 5: Solve for x
    x = 630,428.83/919.76
  6. Step 6: Final answer
    x = 685.43

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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.