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Finding the Fourth Proportional to 1,159.42, 1,739.13 and 293.80

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Solution

The fourth proportional to 1,159.42, 1,739.13 and 293.80 is: 440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.42 : 1,739.13 = 293.80 : x
  2. Step 2: Convert to fraction form
    1,159.42/1,739.13 = 293.80/x
  3. Step 3: Cross multiply
    1,159.42x = 1,739.13 × 293.80
  4. Step 4: Simplify right side
    1,159.42x = 510,946.23
  5. Step 5: Solve for x
    x = 510,946.23/1,159.42
  6. Step 6: Final answer
    x = 440.69

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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.