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Finding the Fourth Proportional to 1,172.32, 1,758.63 and 350.47

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Solution

The fourth proportional to 1,172.32, 1,758.63 and 350.47 is: 525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.32 : 1,758.63 = 350.47 : x
  2. Step 2: Convert to fraction form
    1,172.32/1,758.63 = 350.47/x
  3. Step 3: Cross multiply
    1,172.32x = 1,758.63 × 350.47
  4. Step 4: Simplify right side
    1,172.32x = 616,347.06
  5. Step 5: Solve for x
    x = 616,347.06/1,172.32
  6. Step 6: Final answer
    x = 525.75

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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.