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Finding the Fourth Proportional to 903.69, 1,355.80 and 574.25

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Solution

The fourth proportional to 903.69, 1,355.80 and 574.25 is: 861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.69 : 1,355.80 = 574.25 : x
  2. Step 2: Convert to fraction form
    903.69/1,355.80 = 574.25/x
  3. Step 3: Cross multiply
    903.69x = 1,355.80 × 574.25
  4. Step 4: Simplify right side
    903.69x = 778,565.28
  5. Step 5: Solve for x
    x = 778,565.28/903.69
  6. Step 6: Final answer
    x = 861.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.