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Finding the Fourth Proportional to 1,175.13, 1,763.40 and 435.27

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Solution

The fourth proportional to 1,175.13, 1,763.40 and 435.27 is: 653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.13 : 1,763.40 = 435.27 : x
  2. Step 2: Convert to fraction form
    1,175.13/1,763.40 = 435.27/x
  3. Step 3: Cross multiply
    1,175.13x = 1,763.40 × 435.27
  4. Step 4: Simplify right side
    1,175.13x = 767,555.12
  5. Step 5: Solve for x
    x = 767,555.12/1,175.13
  6. Step 6: Final answer
    x = 653.17

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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.