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Finding the Fourth Proportional to 1,010.95, 1,516.61 and 463.19

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Solution

The fourth proportional to 1,010.95, 1,516.61 and 463.19 is: 694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.95 : 1,516.61 = 463.19 : x
  2. Step 2: Convert to fraction form
    1,010.95/1,516.61 = 463.19/x
  3. Step 3: Cross multiply
    1,010.95x = 1,516.61 × 463.19
  4. Step 4: Simplify right side
    1,010.95x = 702,478.59
  5. Step 5: Solve for x
    x = 702,478.59/1,010.95
  6. Step 6: Final answer
    x = 694.87

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Why These Related Problems?

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