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Finding the Fourth Proportional to 838.42, 1,253.01 and 619.51

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Solution

The fourth proportional to 838.42, 1,253.01 and 619.51 is: 925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.42 : 1,253.01 = 619.51 : x
  2. Step 2: Convert to fraction form
    838.42/1,253.01 = 619.51/x
  3. Step 3: Cross multiply
    838.42x = 1,253.01 × 619.51
  4. Step 4: Simplify right side
    838.42x = 776,252.23
  5. Step 5: Solve for x
    x = 776,252.23/838.42
  6. Step 6: Final answer
    x = 925.85

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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.