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Finding the Fourth Proportional to 904.63, 1,248.31 and 511.75

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Solution

The fourth proportional to 904.63, 1,248.31 and 511.75 is: 706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.63 : 1,248.31 = 511.75 : x
  2. Step 2: Convert to fraction form
    904.63/1,248.31 = 511.75/x
  3. Step 3: Cross multiply
    904.63x = 1,248.31 × 511.75
  4. Step 4: Simplify right side
    904.63x = 638,822.64
  5. Step 5: Solve for x
    x = 638,822.64/904.63
  6. Step 6: Final answer
    x = 706.17

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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.