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Finding the Fourth Proportional to 1,071.49, 1,607.33 and 378.09

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Solution

The fourth proportional to 1,071.49, 1,607.33 and 378.09 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.49 : 1,607.33 = 378.09 : x
  2. Step 2: Convert to fraction form
    1,071.49/1,607.33 = 378.09/x
  3. Step 3: Cross multiply
    1,071.49x = 1,607.33 × 378.09
  4. Step 4: Simplify right side
    1,071.49x = 607,715.40
  5. Step 5: Solve for x
    x = 607,715.40/1,071.49
  6. Step 6: Final answer
    x = 567.17

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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.