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Finding the Fourth Proportional to 1,521.99, 2,283.89 and 597.65

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Solution

The fourth proportional to 1,521.99, 2,283.89 and 597.65 is: 896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.99 : 2,283.89 = 597.65 : x
  2. Step 2: Convert to fraction form
    1,521.99/2,283.89 = 597.65/x
  3. Step 3: Cross multiply
    1,521.99x = 2,283.89 × 597.65
  4. Step 4: Simplify right side
    1,521.99x = 1,364,952.45
  5. Step 5: Solve for x
    x = 1,364,952.45/1,521.99
  6. Step 6: Final answer
    x = 896.82

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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.