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Finding the Fourth Proportional to 907.11, 1,354.13 and 839.48

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Solution

The fourth proportional to 907.11, 1,354.13 and 839.48 is: 1,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.11 : 1,354.13 = 839.48 : x
  2. Step 2: Convert to fraction form
    907.11/1,354.13 = 839.48/x
  3. Step 3: Cross multiply
    907.11x = 1,354.13 × 839.48
  4. Step 4: Simplify right side
    907.11x = 1,136,754.08
  5. Step 5: Solve for x
    x = 1,136,754.08/907.11
  6. Step 6: Final answer
    x = 1,253.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.