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Finding the Fourth Proportional to 926.02, 1,272.67 and 900.10

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Solution

The fourth proportional to 926.02, 1,272.67 and 900.10 is: 1,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.02 : 1,272.67 = 900.10 : x
  2. Step 2: Convert to fraction form
    926.02/1,272.67 = 900.10/x
  3. Step 3: Cross multiply
    926.02x = 1,272.67 × 900.10
  4. Step 4: Simplify right side
    926.02x = 1,145,530.27
  5. Step 5: Solve for x
    x = 1,145,530.27/926.02
  6. Step 6: Final answer
    x = 1,237.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.