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Finding the Fourth Proportional to 1,590.42, 2,385.62 and 494.78

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Solution

The fourth proportional to 1,590.42, 2,385.62 and 494.78 is: 742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.42 : 2,385.62 = 494.78 : x
  2. Step 2: Convert to fraction form
    1,590.42/2,385.62 = 494.78/x
  3. Step 3: Cross multiply
    1,590.42x = 2,385.62 × 494.78
  4. Step 4: Simplify right side
    1,590.42x = 1,180,364.26
  5. Step 5: Solve for x
    x = 1,180,364.26/1,590.42
  6. Step 6: Final answer
    x = 742.17

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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.