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Finding the Fourth Proportional to 1,223.34, 1,831.58 and 666.02

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Solution

The fourth proportional to 1,223.34, 1,831.58 and 666.02 is: 997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.34 : 1,831.58 = 666.02 : x
  2. Step 2: Convert to fraction form
    1,223.34/1,831.58 = 666.02/x
  3. Step 3: Cross multiply
    1,223.34x = 1,831.58 × 666.02
  4. Step 4: Simplify right side
    1,223.34x = 1,219,872.66
  5. Step 5: Solve for x
    x = 1,219,872.66/1,223.34
  6. Step 6: Final answer
    x = 997.17

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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.