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Finding the Fourth Proportional to 988.72, 1,484 and 502.11

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Solution

The fourth proportional to 988.72, 1,484 and 502.11 is: 753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.72 : 1,484 = 502.11 : x
  2. Step 2: Convert to fraction form
    988.72/1,484 = 502.11/x
  3. Step 3: Cross multiply
    988.72x = 1,484 × 502.11
  4. Step 4: Simplify right side
    988.72x = 745,131.24
  5. Step 5: Solve for x
    x = 745,131.24/988.72
  6. Step 6: Final answer
    x = 753.63

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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.