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Finding the Fourth Proportional to 988.78, 1,483.36 and 623.14

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Solution

The fourth proportional to 988.78, 1,483.36 and 623.14 is: 934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.78 : 1,483.36 = 623.14 : x
  2. Step 2: Convert to fraction form
    988.78/1,483.36 = 623.14/x
  3. Step 3: Cross multiply
    988.78x = 1,483.36 × 623.14
  4. Step 4: Simplify right side
    988.78x = 924,340.95
  5. Step 5: Solve for x
    x = 924,340.95/988.78
  6. Step 6: Final answer
    x = 934.83

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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.