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Finding the Fourth Proportional to 1,307.84, 1,962.08 and 442.80

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Solution

The fourth proportional to 1,307.84, 1,962.08 and 442.80 is: 664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.84 : 1,962.08 = 442.80 : x
  2. Step 2: Convert to fraction form
    1,307.84/1,962.08 = 442.80/x
  3. Step 3: Cross multiply
    1,307.84x = 1,962.08 × 442.80
  4. Step 4: Simplify right side
    1,307.84x = 868,809.02
  5. Step 5: Solve for x
    x = 868,809.02/1,307.84
  6. Step 6: Final answer
    x = 664.31

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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.