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Finding the Fourth Proportional to 1,159.88, 1,739.97 and 429.47

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Solution

The fourth proportional to 1,159.88, 1,739.97 and 429.47 is: 644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.88 : 1,739.97 = 429.47 : x
  2. Step 2: Convert to fraction form
    1,159.88/1,739.97 = 429.47/x
  3. Step 3: Cross multiply
    1,159.88x = 1,739.97 × 429.47
  4. Step 4: Simplify right side
    1,159.88x = 747,256.22
  5. Step 5: Solve for x
    x = 747,256.22/1,159.88
  6. Step 6: Final answer
    x = 644.25

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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.