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Finding the Fourth Proportional to 1,060.42, 1,590.67 and 329.98

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Solution

The fourth proportional to 1,060.42, 1,590.67 and 329.98 is: 494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.42 : 1,590.67 = 329.98 : x
  2. Step 2: Convert to fraction form
    1,060.42/1,590.67 = 329.98/x
  3. Step 3: Cross multiply
    1,060.42x = 1,590.67 × 329.98
  4. Step 4: Simplify right side
    1,060.42x = 524,881.33
  5. Step 5: Solve for x
    x = 524,881.33/1,060.42
  6. Step 6: Final answer
    x = 494.98

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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.