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Finding the Fourth Proportional to 1,175.64, 1,763.78 and 589.93

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Solution

The fourth proportional to 1,175.64, 1,763.78 and 589.93 is: 885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.64 : 1,763.78 = 589.93 : x
  2. Step 2: Convert to fraction form
    1,175.64/1,763.78 = 589.93/x
  3. Step 3: Cross multiply
    1,175.64x = 1,763.78 × 589.93
  4. Step 4: Simplify right side
    1,175.64x = 1,040,506.74
  5. Step 5: Solve for x
    x = 1,040,506.74/1,175.64
  6. Step 6: Final answer
    x = 885.06

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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.