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Finding the Fourth Proportional to 1,159.69, 1,740.06 and 429.10

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Solution

The fourth proportional to 1,159.69, 1,740.06 and 429.10 is: 643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.69 : 1,740.06 = 429.10 : x
  2. Step 2: Convert to fraction form
    1,159.69/1,740.06 = 429.10/x
  3. Step 3: Cross multiply
    1,159.69x = 1,740.06 × 429.10
  4. Step 4: Simplify right side
    1,159.69x = 746,659.75
  5. Step 5: Solve for x
    x = 746,659.75/1,159.69
  6. Step 6: Final answer
    x = 643.84

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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.