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Finding the Fourth Proportional to 904.31, 1,354.42 and 575.25

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Solution

The fourth proportional to 904.31, 1,354.42 and 575.25 is: 861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.31 : 1,354.42 = 575.25 : x
  2. Step 2: Convert to fraction form
    904.31/1,354.42 = 575.25/x
  3. Step 3: Cross multiply
    904.31x = 1,354.42 × 575.25
  4. Step 4: Simplify right side
    904.31x = 779,127.23
  5. Step 5: Solve for x
    x = 779,127.23/904.31
  6. Step 6: Final answer
    x = 861.57

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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.