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Finding the Fourth Proportional to 1,573.23, 2,358.92 and 599.40

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Solution

The fourth proportional to 1,573.23, 2,358.92 and 599.40 is: 898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.23 : 2,358.92 = 599.40 : x
  2. Step 2: Convert to fraction form
    1,573.23/2,358.92 = 599.40/x
  3. Step 3: Cross multiply
    1,573.23x = 2,358.92 × 599.40
  4. Step 4: Simplify right side
    1,573.23x = 1,413,936.65
  5. Step 5: Solve for x
    x = 1,413,936.65/1,573.23
  6. Step 6: Final answer
    x = 898.75

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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.