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Finding the Fourth Proportional to 900.75, 1,348.95 and 437.39

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Solution

The fourth proportional to 900.75, 1,348.95 and 437.39 is: 655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.75 : 1,348.95 = 437.39 : x
  2. Step 2: Convert to fraction form
    900.75/1,348.95 = 437.39/x
  3. Step 3: Cross multiply
    900.75x = 1,348.95 × 437.39
  4. Step 4: Simplify right side
    900.75x = 590,009.68
  5. Step 5: Solve for x
    x = 590,009.68/900.75
  6. Step 6: Final answer
    x = 655.02

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