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Finding the Fourth Proportional to 1,159.58, 1,739.62 and 429.15

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Solution

The fourth proportional to 1,159.58, 1,739.62 and 429.15 is: 643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.58 : 1,739.62 = 429.15 : x
  2. Step 2: Convert to fraction form
    1,159.58/1,739.62 = 429.15/x
  3. Step 3: Cross multiply
    1,159.58x = 1,739.62 × 429.15
  4. Step 4: Simplify right side
    1,159.58x = 746,557.92
  5. Step 5: Solve for x
    x = 746,557.92/1,159.58
  6. Step 6: Final answer
    x = 643.82

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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.