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Finding the Fourth Proportional to 1,357.17, 2,035.44 and 432.81

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Solution

The fourth proportional to 1,357.17, 2,035.44 and 432.81 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.17 : 2,035.44 = 432.81 : x
  2. Step 2: Convert to fraction form
    1,357.17/2,035.44 = 432.81/x
  3. Step 3: Cross multiply
    1,357.17x = 2,035.44 × 432.81
  4. Step 4: Simplify right side
    1,357.17x = 880,958.79
  5. Step 5: Solve for x
    x = 880,958.79/1,357.17
  6. Step 6: Final answer
    x = 649.11

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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.