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Finding the Fourth Proportional to 1,175.79, 1,622.52 and 651.86

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Solution

The fourth proportional to 1,175.79, 1,622.52 and 651.86 is: 899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.79 : 1,622.52 = 651.86 : x
  2. Step 2: Convert to fraction form
    1,175.79/1,622.52 = 651.86/x
  3. Step 3: Cross multiply
    1,175.79x = 1,622.52 × 651.86
  4. Step 4: Simplify right side
    1,175.79x = 1,057,647.77
  5. Step 5: Solve for x
    x = 1,057,647.77/1,175.79
  6. Step 6: Final answer
    x = 899.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.