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Finding the Fourth Proportional to 838.66, 1,254.32 and 491.16

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Solution

The fourth proportional to 838.66, 1,254.32 and 491.16 is: 734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.66 : 1,254.32 = 491.16 : x
  2. Step 2: Convert to fraction form
    838.66/1,254.32 = 491.16/x
  3. Step 3: Cross multiply
    838.66x = 1,254.32 × 491.16
  4. Step 4: Simplify right side
    838.66x = 616,071.81
  5. Step 5: Solve for x
    x = 616,071.81/838.66
  6. Step 6: Final answer
    x = 734.59

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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.