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Finding the Fourth Proportional to 1,229.30, 1,697.46 and 934.19

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Solution

The fourth proportional to 1,229.30, 1,697.46 and 934.19 is: 1,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.30 : 1,697.46 = 934.19 : x
  2. Step 2: Convert to fraction form
    1,229.30/1,697.46 = 934.19/x
  3. Step 3: Cross multiply
    1,229.30x = 1,697.46 × 934.19
  4. Step 4: Simplify right side
    1,229.30x = 1,585,750.16
  5. Step 5: Solve for x
    x = 1,585,750.16/1,229.30
  6. Step 6: Final answer
    x = 1,289.96

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Double scale
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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.