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Finding the Fourth Proportional to 903.42, 1,355.46 and 552.74

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Solution

The fourth proportional to 903.42, 1,355.46 and 552.74 is: 829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.42 : 1,355.46 = 552.74 : x
  2. Step 2: Convert to fraction form
    903.42/1,355.46 = 552.74/x
  3. Step 3: Cross multiply
    903.42x = 1,355.46 × 552.74
  4. Step 4: Simplify right side
    903.42x = 749,207.42
  5. Step 5: Solve for x
    x = 749,207.42/903.42
  6. Step 6: Final answer
    x = 829.31

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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.