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Finding the Fourth Proportional to 974.36, 1,461.02 and 510.98

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Solution

The fourth proportional to 974.36, 1,461.02 and 510.98 is: 766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.36 : 1,461.02 = 510.98 : x
  2. Step 2: Convert to fraction form
    974.36/1,461.02 = 510.98/x
  3. Step 3: Cross multiply
    974.36x = 1,461.02 × 510.98
  4. Step 4: Simplify right side
    974.36x = 746,542.14
  5. Step 5: Solve for x
    x = 746,542.14/974.36
  6. Step 6: Final answer
    x = 766.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.