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Finding the Fourth Proportional to 1,007.14, 1,509.35 and 596.20

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Solution

The fourth proportional to 1,007.14, 1,509.35 and 596.20 is: 893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.14 : 1,509.35 = 596.20 : x
  2. Step 2: Convert to fraction form
    1,007.14/1,509.35 = 596.20/x
  3. Step 3: Cross multiply
    1,007.14x = 1,509.35 × 596.20
  4. Step 4: Simplify right side
    1,007.14x = 899,863.94
  5. Step 5: Solve for x
    x = 899,863.94/1,007.14
  6. Step 6: Final answer
    x = 893.49

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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.