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Finding the Fourth Proportional to 903.59, 1,355.62 and 416.99

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Solution

The fourth proportional to 903.59, 1,355.62 and 416.99 is: 625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.59 : 1,355.62 = 416.99 : x
  2. Step 2: Convert to fraction form
    903.59/1,355.62 = 416.99/x
  3. Step 3: Cross multiply
    903.59x = 1,355.62 × 416.99
  4. Step 4: Simplify right side
    903.59x = 565,279.98
  5. Step 5: Solve for x
    x = 565,279.98/903.59
  6. Step 6: Final answer
    x = 625.59

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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.