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Finding the Fourth Proportional to 1,213.32, 1,674.35 and 689.34

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Solution

The fourth proportional to 1,213.32, 1,674.35 and 689.34 is: 951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.32 : 1,674.35 = 689.34 : x
  2. Step 2: Convert to fraction form
    1,213.32/1,674.35 = 689.34/x
  3. Step 3: Cross multiply
    1,213.32x = 1,674.35 × 689.34
  4. Step 4: Simplify right side
    1,213.32x = 1,154,205.72
  5. Step 5: Solve for x
    x = 1,154,205.72/1,213.32
  6. Step 6: Final answer
    x = 951.28

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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.