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Finding the Fourth Proportional to 1,458.99, 2,013.19 and 869.51

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Solution

The fourth proportional to 1,458.99, 2,013.19 and 869.51 is: 1,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.99 : 2,013.19 = 869.51 : x
  2. Step 2: Convert to fraction form
    1,458.99/2,013.19 = 869.51/x
  3. Step 3: Cross multiply
    1,458.99x = 2,013.19 × 869.51
  4. Step 4: Simplify right side
    1,458.99x = 1,750,488.84
  5. Step 5: Solve for x
    x = 1,750,488.84/1,458.99
  6. Step 6: Final answer
    x = 1,199.79

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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.