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Finding the Fourth Proportional to 1,523.34, 2,284.49 and 598.65

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Solution

The fourth proportional to 1,523.34, 2,284.49 and 598.65 is: 897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.34 : 2,284.49 = 598.65 : x
  2. Step 2: Convert to fraction form
    1,523.34/2,284.49 = 598.65/x
  3. Step 3: Cross multiply
    1,523.34x = 2,284.49 × 598.65
  4. Step 4: Simplify right side
    1,523.34x = 1,367,606.95
  5. Step 5: Solve for x
    x = 1,367,606.95/1,523.34
  6. Step 6: Final answer
    x = 897.77

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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.