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Finding the Fourth Proportional to 1,010.84, 1,516.62 and 463.16

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Solution

The fourth proportional to 1,010.84, 1,516.62 and 463.16 is: 694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.84 : 1,516.62 = 463.16 : x
  2. Step 2: Convert to fraction form
    1,010.84/1,516.62 = 463.16/x
  3. Step 3: Cross multiply
    1,010.84x = 1,516.62 × 463.16
  4. Step 4: Simplify right side
    1,010.84x = 702,437.72
  5. Step 5: Solve for x
    x = 702,437.72/1,010.84
  6. Step 6: Final answer
    x = 694.90

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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.