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Finding the Fourth Proportional to 920.14, 1,378.47 and 457.67

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Solution

The fourth proportional to 920.14, 1,378.47 and 457.67 is: 685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.14 : 1,378.47 = 457.67 : x
  2. Step 2: Convert to fraction form
    920.14/1,378.47 = 457.67/x
  3. Step 3: Cross multiply
    920.14x = 1,378.47 × 457.67
  4. Step 4: Simplify right side
    920.14x = 630,889.53
  5. Step 5: Solve for x
    x = 630,889.53/920.14
  6. Step 6: Final answer
    x = 685.65

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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.