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Finding the Fourth Proportional to 1,357.62, 2,035.67 and 433.01

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Solution

The fourth proportional to 1,357.62, 2,035.67 and 433.01 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.62 : 2,035.67 = 433.01 : x
  2. Step 2: Convert to fraction form
    1,357.62/2,035.67 = 433.01/x
  3. Step 3: Cross multiply
    1,357.62x = 2,035.67 × 433.01
  4. Step 4: Simplify right side
    1,357.62x = 881,465.47
  5. Step 5: Solve for x
    x = 881,465.47/1,357.62
  6. Step 6: Final answer
    x = 649.27

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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.