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Finding the Fourth Proportional to 904.73, 1,248.54 and 511.76

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Solution

The fourth proportional to 904.73, 1,248.54 and 511.76 is: 706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.73 : 1,248.54 = 511.76 : x
  2. Step 2: Convert to fraction form
    904.73/1,248.54 = 511.76/x
  3. Step 3: Cross multiply
    904.73x = 1,248.54 × 511.76
  4. Step 4: Simplify right side
    904.73x = 638,948.51
  5. Step 5: Solve for x
    x = 638,948.51/904.73
  6. Step 6: Final answer
    x = 706.24

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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.