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Finding the Fourth Proportional to 1,149.22, 1,585.96 and 651.77

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Solution

The fourth proportional to 1,149.22, 1,585.96 and 651.77 is: 899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.22 : 1,585.96 = 651.77 : x
  2. Step 2: Convert to fraction form
    1,149.22/1,585.96 = 651.77/x
  3. Step 3: Cross multiply
    1,149.22x = 1,585.96 × 651.77
  4. Step 4: Simplify right side
    1,149.22x = 1,033,681.15
  5. Step 5: Solve for x
    x = 1,033,681.15/1,149.22
  6. Step 6: Final answer
    x = 899.46

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Why These Related Problems?

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