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Finding the Fourth Proportional to 1,311.17, 1,965.71 and 899.05

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Solution

The fourth proportional to 1,311.17, 1,965.71 and 899.05 is: 1,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.17 : 1,965.71 = 899.05 : x
  2. Step 2: Convert to fraction form
    1,311.17/1,965.71 = 899.05/x
  3. Step 3: Cross multiply
    1,311.17x = 1,965.71 × 899.05
  4. Step 4: Simplify right side
    1,311.17x = 1,767,271.58
  5. Step 5: Solve for x
    x = 1,767,271.58/1,311.17
  6. Step 6: Final answer
    x = 1,347.86

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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.