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Finding the Fourth Proportional to 904.78, 1,248.83 and 512.03

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Solution

The fourth proportional to 904.78, 1,248.83 and 512.03 is: 706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.78 : 1,248.83 = 512.03 : x
  2. Step 2: Convert to fraction form
    904.78/1,248.83 = 512.03/x
  3. Step 3: Cross multiply
    904.78x = 1,248.83 × 512.03
  4. Step 4: Simplify right side
    904.78x = 639,440.91
  5. Step 5: Solve for x
    x = 639,440.91/904.78
  6. Step 6: Final answer
    x = 706.74

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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.