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Finding the Fourth Proportional to 903.53, 1,353.12 and 463.62

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Solution

The fourth proportional to 903.53, 1,353.12 and 463.62 is: 694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.53 : 1,353.12 = 463.62 : x
  2. Step 2: Convert to fraction form
    903.53/1,353.12 = 463.62/x
  3. Step 3: Cross multiply
    903.53x = 1,353.12 × 463.62
  4. Step 4: Simplify right side
    903.53x = 627,335.23
  5. Step 5: Solve for x
    x = 627,335.23/903.53
  6. Step 6: Final answer
    x = 694.32

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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.