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Finding the Fourth Proportional to 997.70, 1,495.65 and 632.30

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Solution

The fourth proportional to 997.70, 1,495.65 and 632.30 is: 947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.70 : 1,495.65 = 632.30 : x
  2. Step 2: Convert to fraction form
    997.70/1,495.65 = 632.30/x
  3. Step 3: Cross multiply
    997.70x = 1,495.65 × 632.30
  4. Step 4: Simplify right side
    997.70x = 945,699.50
  5. Step 5: Solve for x
    x = 945,699.50/997.70
  6. Step 6: Final answer
    x = 947.88

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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.