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Finding the Fourth Proportional to 1,225.22, 1,690.74 and 665.64

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Solution

The fourth proportional to 1,225.22, 1,690.74 and 665.64 is: 918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.22 : 1,690.74 = 665.64 : x
  2. Step 2: Convert to fraction form
    1,225.22/1,690.74 = 665.64/x
  3. Step 3: Cross multiply
    1,225.22x = 1,690.74 × 665.64
  4. Step 4: Simplify right side
    1,225.22x = 1,125,424.17
  5. Step 5: Solve for x
    x = 1,125,424.17/1,225.22
  6. Step 6: Final answer
    x = 918.55

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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.