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Finding the Fourth Proportional to 996.64, 1,487.44 and 970.72

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Solution

The fourth proportional to 996.64, 1,487.44 and 970.72 is: 1,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.64 : 1,487.44 = 970.72 : x
  2. Step 2: Convert to fraction form
    996.64/1,487.44 = 970.72/x
  3. Step 3: Cross multiply
    996.64x = 1,487.44 × 970.72
  4. Step 4: Simplify right side
    996.64x = 1,443,887.76
  5. Step 5: Solve for x
    x = 1,443,887.76/996.64
  6. Step 6: Final answer
    x = 1,448.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.