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Finding the Fourth Proportional to 1,364.40, 2,045.07 and 815.58

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Solution

The fourth proportional to 1,364.40, 2,045.07 and 815.58 is: 1,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.40 : 2,045.07 = 815.58 : x
  2. Step 2: Convert to fraction form
    1,364.40/2,045.07 = 815.58/x
  3. Step 3: Cross multiply
    1,364.40x = 2,045.07 × 815.58
  4. Step 4: Simplify right side
    1,364.40x = 1,667,918.19
  5. Step 5: Solve for x
    x = 1,667,918.19/1,364.40
  6. Step 6: Final answer
    x = 1,222.46

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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.