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Finding the Fourth Proportional to 923.99, 1,387.36 and 579.50

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Solution

The fourth proportional to 923.99, 1,387.36 and 579.50 is: 870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.99 : 1,387.36 = 579.50 : x
  2. Step 2: Convert to fraction form
    923.99/1,387.36 = 579.50/x
  3. Step 3: Cross multiply
    923.99x = 1,387.36 × 579.50
  4. Step 4: Simplify right side
    923.99x = 803,974.11
  5. Step 5: Solve for x
    x = 803,974.11/923.99
  6. Step 6: Final answer
    x = 870.12

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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.