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Finding the Fourth Proportional to 900.40, 1,352.91 and 847.93

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Solution

The fourth proportional to 900.40, 1,352.91 and 847.93 is: 1,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.40 : 1,352.91 = 847.93 : x
  2. Step 2: Convert to fraction form
    900.40/1,352.91 = 847.93/x
  3. Step 3: Cross multiply
    900.40x = 1,352.91 × 847.93
  4. Step 4: Simplify right side
    900.40x = 1,147,172.98
  5. Step 5: Solve for x
    x = 1,147,172.98/900.40
  6. Step 6: Final answer
    x = 1,274.07

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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.