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Finding the Fourth Proportional to 904.84, 1,248.74 and 511.90

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Solution

The fourth proportional to 904.84, 1,248.74 and 511.90 is: 706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.84 : 1,248.74 = 511.90 : x
  2. Step 2: Convert to fraction form
    904.84/1,248.74 = 511.90/x
  3. Step 3: Cross multiply
    904.84x = 1,248.74 × 511.90
  4. Step 4: Simplify right side
    904.84x = 639,230.01
  5. Step 5: Solve for x
    x = 639,230.01/904.84
  6. Step 6: Final answer
    x = 706.46

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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.