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Finding the Fourth Proportional to 903.78, 1,246.77 and 624.30

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Solution

The fourth proportional to 903.78, 1,246.77 and 624.30 is: 861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.78 : 1,246.77 = 624.30 : x
  2. Step 2: Convert to fraction form
    903.78/1,246.77 = 624.30/x
  3. Step 3: Cross multiply
    903.78x = 1,246.77 × 624.30
  4. Step 4: Simplify right side
    903.78x = 778,358.51
  5. Step 5: Solve for x
    x = 778,358.51/903.78
  6. Step 6: Final answer
    x = 861.23

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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.