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Finding the Fourth Proportional to 1,499.37, 2,069.38 and 870.09

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Solution

The fourth proportional to 1,499.37, 2,069.38 and 870.09 is: 1,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.37 : 2,069.38 = 870.09 : x
  2. Step 2: Convert to fraction form
    1,499.37/2,069.38 = 870.09/x
  3. Step 3: Cross multiply
    1,499.37x = 2,069.38 × 870.09
  4. Step 4: Simplify right side
    1,499.37x = 1,800,547.93
  5. Step 5: Solve for x
    x = 1,800,547.93/1,499.37
  6. Step 6: Final answer
    x = 1,200.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.