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Finding the Fourth Proportional to 1,000.64, 1,493.38 and 974.72

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Solution

The fourth proportional to 1,000.64, 1,493.38 and 974.72 is: 1,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.64 : 1,493.38 = 974.72 : x
  2. Step 2: Convert to fraction form
    1,000.64/1,493.38 = 974.72/x
  3. Step 3: Cross multiply
    1,000.64x = 1,493.38 × 974.72
  4. Step 4: Simplify right side
    1,000.64x = 1,455,627.35
  5. Step 5: Solve for x
    x = 1,455,627.35/1,000.64
  6. Step 6: Final answer
    x = 1,454.70

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