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Finding the Fourth Proportional to 1,097.15, 1,642.75 and 900.05

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Solution

The fourth proportional to 1,097.15, 1,642.75 and 900.05 is: 1,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.15 : 1,642.75 = 900.05 : x
  2. Step 2: Convert to fraction form
    1,097.15/1,642.75 = 900.05/x
  3. Step 3: Cross multiply
    1,097.15x = 1,642.75 × 900.05
  4. Step 4: Simplify right side
    1,097.15x = 1,478,546.67
  5. Step 5: Solve for x
    x = 1,478,546.67/1,097.15
  6. Step 6: Final answer
    x = 1,347.63

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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.