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Finding the Fourth Proportional to 974.95, 1,460.09 and 535.52

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Solution

The fourth proportional to 974.95, 1,460.09 and 535.52 is: 802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.95 : 1,460.09 = 535.52 : x
  2. Step 2: Convert to fraction form
    974.95/1,460.09 = 535.52/x
  3. Step 3: Cross multiply
    974.95x = 1,460.09 × 535.52
  4. Step 4: Simplify right side
    974.95x = 781,912.39
  5. Step 5: Solve for x
    x = 781,912.39/974.95
  6. Step 6: Final answer
    x = 802.00

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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.