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Finding the Fourth Proportional to 1,459.04, 2,013.48 and 838

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Solution

The fourth proportional to 1,459.04, 2,013.48 and 838 is: 1,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.04 : 2,013.48 = 838 : x
  2. Step 2: Convert to fraction form
    1,459.04/2,013.48 = 838/x
  3. Step 3: Cross multiply
    1,459.04x = 2,013.48 × 838
  4. Step 4: Simplify right side
    1,459.04x = 1,687,296.24
  5. Step 5: Solve for x
    x = 1,687,296.24/1,459.04
  6. Step 6: Final answer
    x = 1,156.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.