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Finding the Fourth Proportional to 1,598.94, 2,398.55 and 559.00

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Solution

The fourth proportional to 1,598.94, 2,398.55 and 559.00 is: 838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.94 : 2,398.55 = 559.00 : x
  2. Step 2: Convert to fraction form
    1,598.94/2,398.55 = 559.00/x
  3. Step 3: Cross multiply
    1,598.94x = 2,398.55 × 559.00
  4. Step 4: Simplify right side
    1,598.94x = 1,340,789.65
  5. Step 5: Solve for x
    x = 1,340,789.65/1,598.94
  6. Step 6: Final answer
    x = 838.55

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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.