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Finding the Fourth Proportional to 1,168.24, 1,752.22 and 509.98

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Solution

The fourth proportional to 1,168.24, 1,752.22 and 509.98 is: 764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.24 : 1,752.22 = 509.98 : x
  2. Step 2: Convert to fraction form
    1,168.24/1,752.22 = 509.98/x
  3. Step 3: Cross multiply
    1,168.24x = 1,752.22 × 509.98
  4. Step 4: Simplify right side
    1,168.24x = 893,597.16
  5. Step 5: Solve for x
    x = 893,597.16/1,168.24
  6. Step 6: Final answer
    x = 764.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.