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Finding the Fourth Proportional to 838.74, 1,157.48 and 465.74

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Solution

The fourth proportional to 838.74, 1,157.48 and 465.74 is: 642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.74 : 1,157.48 = 465.74 : x
  2. Step 2: Convert to fraction form
    838.74/1,157.48 = 465.74/x
  3. Step 3: Cross multiply
    838.74x = 1,157.48 × 465.74
  4. Step 4: Simplify right side
    838.74x = 539,082.71
  5. Step 5: Solve for x
    x = 539,082.71/838.74
  6. Step 6: Final answer
    x = 642.73

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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.