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Finding the Fourth Proportional to 988.19, 1,482.29 and 411.07

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Solution

The fourth proportional to 988.19, 1,482.29 and 411.07 is: 616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.19 : 1,482.29 = 411.07 : x
  2. Step 2: Convert to fraction form
    988.19/1,482.29 = 411.07/x
  3. Step 3: Cross multiply
    988.19x = 1,482.29 × 411.07
  4. Step 4: Simplify right side
    988.19x = 609,324.95
  5. Step 5: Solve for x
    x = 609,324.95/988.19
  6. Step 6: Final answer
    x = 616.61

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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.