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Finding the Fourth Proportional to 1,011.11, 1,516.39 and 463.55

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Solution

The fourth proportional to 1,011.11, 1,516.39 and 463.55 is: 695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.11 : 1,516.39 = 463.55 : x
  2. Step 2: Convert to fraction form
    1,011.11/1,516.39 = 463.55/x
  3. Step 3: Cross multiply
    1,011.11x = 1,516.39 × 463.55
  4. Step 4: Simplify right side
    1,011.11x = 702,913.84
  5. Step 5: Solve for x
    x = 702,913.84/1,011.11
  6. Step 6: Final answer
    x = 695.19

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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.