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Finding the Fourth Proportional to 1,011.53, 1,516.38 and 362.11

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Solution

The fourth proportional to 1,011.53, 1,516.38 and 362.11 is: 542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.53 : 1,516.38 = 362.11 : x
  2. Step 2: Convert to fraction form
    1,011.53/1,516.38 = 362.11/x
  3. Step 3: Cross multiply
    1,011.53x = 1,516.38 × 362.11
  4. Step 4: Simplify right side
    1,011.53x = 549,088.78
  5. Step 5: Solve for x
    x = 549,088.78/1,011.53
  6. Step 6: Final answer
    x = 542.83

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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.