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Finding the Fourth Proportional to 1,060.50, 1,590.86 and 291

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Solution

The fourth proportional to 1,060.50, 1,590.86 and 291 is: 436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.50 : 1,590.86 = 291 : x
  2. Step 2: Convert to fraction form
    1,060.50/1,590.86 = 291/x
  3. Step 3: Cross multiply
    1,060.50x = 1,590.86 × 291
  4. Step 4: Simplify right side
    1,060.50x = 462,940.26
  5. Step 5: Solve for x
    x = 462,940.26/1,060.50
  6. Step 6: Final answer
    x = 436.53

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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.