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Finding the Fourth Proportional to 976.32, 1,343.66 and 897.66

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Solution

The fourth proportional to 976.32, 1,343.66 and 897.66 is: 1,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.32 : 1,343.66 = 897.66 : x
  2. Step 2: Convert to fraction form
    976.32/1,343.66 = 897.66/x
  3. Step 3: Cross multiply
    976.32x = 1,343.66 × 897.66
  4. Step 4: Simplify right side
    976.32x = 1,206,145.35
  5. Step 5: Solve for x
    x = 1,206,145.35/976.32
  6. Step 6: Final answer
    x = 1,235.40

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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.