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Finding the Fourth Proportional to 1,266.86, 1,898.72 and 900.88

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Solution

The fourth proportional to 1,266.86, 1,898.72 and 900.88 is: 1,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.86 : 1,898.72 = 900.88 : x
  2. Step 2: Convert to fraction form
    1,266.86/1,898.72 = 900.88/x
  3. Step 3: Cross multiply
    1,266.86x = 1,898.72 × 900.88
  4. Step 4: Simplify right side
    1,266.86x = 1,710,518.87
  5. Step 5: Solve for x
    x = 1,710,518.87/1,266.86
  6. Step 6: Final answer
    x = 1,350.20

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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.