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Finding the Fourth Proportional to 1,357.65, 2,036.49 and 433.20

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Solution

The fourth proportional to 1,357.65, 2,036.49 and 433.20 is: 649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.65 : 2,036.49 = 433.20 : x
  2. Step 2: Convert to fraction form
    1,357.65/2,036.49 = 433.20/x
  3. Step 3: Cross multiply
    1,357.65x = 2,036.49 × 433.20
  4. Step 4: Simplify right side
    1,357.65x = 882,205.84
  5. Step 5: Solve for x
    x = 882,205.84/1,357.65
  6. Step 6: Final answer
    x = 649.81

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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.