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Finding the Fourth Proportional to 1,357.93, 2,037.15 and 433.24

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Solution

The fourth proportional to 1,357.93, 2,037.15 and 433.24 is: 649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.93 : 2,037.15 = 433.24 : x
  2. Step 2: Convert to fraction form
    1,357.93/2,037.15 = 433.24/x
  3. Step 3: Cross multiply
    1,357.93x = 2,037.15 × 433.24
  4. Step 4: Simplify right side
    1,357.93x = 882,574.87
  5. Step 5: Solve for x
    x = 882,574.87/1,357.93
  6. Step 6: Final answer
    x = 649.94

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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.