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Finding the Fourth Proportional to 838.42, 1,157.02 and 465.42

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Solution

The fourth proportional to 838.42, 1,157.02 and 465.42 is: 642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.42 : 1,157.02 = 465.42 : x
  2. Step 2: Convert to fraction form
    838.42/1,157.02 = 465.42/x
  3. Step 3: Cross multiply
    838.42x = 1,157.02 × 465.42
  4. Step 4: Simplify right side
    838.42x = 538,506.04
  5. Step 5: Solve for x
    x = 538,506.04/838.42
  6. Step 6: Final answer
    x = 642.29

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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.