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Finding the Fourth Proportional to 904.74, 1,248.33 and 511.71

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Solution

The fourth proportional to 904.74, 1,248.33 and 511.71 is: 706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.74 : 1,248.33 = 511.71 : x
  2. Step 2: Convert to fraction form
    904.74/1,248.33 = 511.71/x
  3. Step 3: Cross multiply
    904.74x = 1,248.33 × 511.71
  4. Step 4: Simplify right side
    904.74x = 638,782.94
  5. Step 5: Solve for x
    x = 638,782.94/904.74
  6. Step 6: Final answer
    x = 706.04

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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.