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Finding the Fourth Proportional to 1,006.02, 1,499.31 and 970.79

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Solution

The fourth proportional to 1,006.02, 1,499.31 and 970.79 is: 1,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.02 : 1,499.31 = 970.79 : x
  2. Step 2: Convert to fraction form
    1,006.02/1,499.31 = 970.79/x
  3. Step 3: Cross multiply
    1,006.02x = 1,499.31 × 970.79
  4. Step 4: Simplify right side
    1,006.02x = 1,455,507.66
  5. Step 5: Solve for x
    x = 1,455,507.66/1,006.02
  6. Step 6: Final answer
    x = 1,446.80

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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.