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Finding the Fourth Proportional to 988.83, 1,482.24 and 339.15

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Solution

The fourth proportional to 988.83, 1,482.24 and 339.15 is: 508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.83 : 1,482.24 = 339.15 : x
  2. Step 2: Convert to fraction form
    988.83/1,482.24 = 339.15/x
  3. Step 3: Cross multiply
    988.83x = 1,482.24 × 339.15
  4. Step 4: Simplify right side
    988.83x = 502,701.70
  5. Step 5: Solve for x
    x = 502,701.70/988.83
  6. Step 6: Final answer
    x = 508.38

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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.