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Finding the Fourth Proportional to 1,357.32, 2,035.71 and 383.16

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Solution

The fourth proportional to 1,357.32, 2,035.71 and 383.16 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.32 : 2,035.71 = 383.16 : x
  2. Step 2: Convert to fraction form
    1,357.32/2,035.71 = 383.16/x
  3. Step 3: Cross multiply
    1,357.32x = 2,035.71 × 383.16
  4. Step 4: Simplify right side
    1,357.32x = 780,002.64
  5. Step 5: Solve for x
    x = 780,002.64/1,357.32
  6. Step 6: Final answer
    x = 574.66

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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.