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Finding the Fourth Proportional to 1,307.84, 1,962.05 and 442.13

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Solution

The fourth proportional to 1,307.84, 1,962.05 and 442.13 is: 663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.84 : 1,962.05 = 442.13 : x
  2. Step 2: Convert to fraction form
    1,307.84/1,962.05 = 442.13/x
  3. Step 3: Cross multiply
    1,307.84x = 1,962.05 × 442.13
  4. Step 4: Simplify right side
    1,307.84x = 867,469.15
  5. Step 5: Solve for x
    x = 867,469.15/1,307.84
  6. Step 6: Final answer
    x = 663.29

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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.