Home / 1,160.10-1,740.56-429.75

Finding the Fourth Proportional to 1,160.10, 1,740.56 and 429.75

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Solution

The fourth proportional to 1,160.10, 1,740.56 and 429.75 is: 644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.10 : 1,740.56 = 429.75 : x
  2. Step 2: Convert to fraction form
    1,160.10/1,740.56 = 429.75/x
  3. Step 3: Cross multiply
    1,160.10x = 1,740.56 × 429.75
  4. Step 4: Simplify right side
    1,160.10x = 748,003.51
  5. Step 5: Solve for x
    x = 748,003.51/1,160.10
  6. Step 6: Final answer
    x = 644.78

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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.