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Finding the Fourth Proportional to 904.44, 1,248.17 and 511.55

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Solution

The fourth proportional to 904.44, 1,248.17 and 511.55 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.44 : 1,248.17 = 511.55 : x
  2. Step 2: Convert to fraction form
    904.44/1,248.17 = 511.55/x
  3. Step 3: Cross multiply
    904.44x = 1,248.17 × 511.55
  4. Step 4: Simplify right side
    904.44x = 638,501.36
  5. Step 5: Solve for x
    x = 638,501.36/904.44
  6. Step 6: Final answer
    x = 705.96

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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.