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Finding the Fourth Proportional to 1,169.35, 1,752.53 and 438.05

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Solution

The fourth proportional to 1,169.35, 1,752.53 and 438.05 is: 656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.35 : 1,752.53 = 438.05 : x
  2. Step 2: Convert to fraction form
    1,169.35/1,752.53 = 438.05/x
  3. Step 3: Cross multiply
    1,169.35x = 1,752.53 × 438.05
  4. Step 4: Simplify right side
    1,169.35x = 767,695.77
  5. Step 5: Solve for x
    x = 767,695.77/1,169.35
  6. Step 6: Final answer
    x = 656.51

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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.