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Finding the Fourth Proportional to 730.80, 1,095.53 and 291.78

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Solution

The fourth proportional to 730.80, 1,095.53 and 291.78 is: 437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.80 : 1,095.53 = 291.78 : x
  2. Step 2: Convert to fraction form
    730.80/1,095.53 = 291.78/x
  3. Step 3: Cross multiply
    730.80x = 1,095.53 × 291.78
  4. Step 4: Simplify right side
    730.80x = 319,652.28
  5. Step 5: Solve for x
    x = 319,652.28/730.80
  6. Step 6: Final answer
    x = 437.40

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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.