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Finding the Fourth Proportional to 904.74, 1,248.77 and 512.00

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Solution

The fourth proportional to 904.74, 1,248.77 and 512.00 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.74 : 1,248.77 = 512.00 : x
  2. Step 2: Convert to fraction form
    904.74/1,248.77 = 512.00/x
  3. Step 3: Cross multiply
    904.74x = 1,248.77 × 512.00
  4. Step 4: Simplify right side
    904.74x = 639,361.44
  5. Step 5: Solve for x
    x = 639,361.44/904.74
  6. Step 6: Final answer
    x = 706.68

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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.