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Finding the Fourth Proportional to 1,006.99, 1,507.90 and 596.42

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Solution

The fourth proportional to 1,006.99, 1,507.90 and 596.42 is: 893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.99 : 1,507.90 = 596.42 : x
  2. Step 2: Convert to fraction form
    1,006.99/1,507.90 = 596.42/x
  3. Step 3: Cross multiply
    1,006.99x = 1,507.90 × 596.42
  4. Step 4: Simplify right side
    1,006.99x = 899,342.46
  5. Step 5: Solve for x
    x = 899,342.46/1,006.99
  6. Step 6: Final answer
    x = 893.10

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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.