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Finding the Fourth Proportional to 1,590.64, 2,384.97 and 616.30

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Solution

The fourth proportional to 1,590.64, 2,384.97 and 616.30 is: 924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.64 : 2,384.97 = 616.30 : x
  2. Step 2: Convert to fraction form
    1,590.64/2,384.97 = 616.30/x
  3. Step 3: Cross multiply
    1,590.64x = 2,384.97 × 616.30
  4. Step 4: Simplify right side
    1,590.64x = 1,469,857.01
  5. Step 5: Solve for x
    x = 1,469,857.01/1,590.64
  6. Step 6: Final answer
    x = 924.07

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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.