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Finding the Fourth Proportional to 1,590.06, 2,385.69 and 665.55

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Solution

The fourth proportional to 1,590.06, 2,385.69 and 665.55 is: 998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.06 : 2,385.69 = 665.55 : x
  2. Step 2: Convert to fraction form
    1,590.06/2,385.69 = 665.55/x
  3. Step 3: Cross multiply
    1,590.06x = 2,385.69 × 665.55
  4. Step 4: Simplify right side
    1,590.06x = 1,587,806.36
  5. Step 5: Solve for x
    x = 1,587,806.36/1,590.06
  6. Step 6: Final answer
    x = 998.59

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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.