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Finding the Fourth Proportional to 838.08, 1,254.56 and 730.08

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Solution

The fourth proportional to 838.08, 1,254.56 and 730.08 is: 1,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.08 : 1,254.56 = 730.08 : x
  2. Step 2: Convert to fraction form
    838.08/1,254.56 = 730.08/x
  3. Step 3: Cross multiply
    838.08x = 1,254.56 × 730.08
  4. Step 4: Simplify right side
    838.08x = 915,925.51
  5. Step 5: Solve for x
    x = 915,925.51/838.08
  6. Step 6: Final answer
    x = 1,092.89

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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.