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Finding the Fourth Proportional to 1,223.81, 1,835.93 and 402.12

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Solution

The fourth proportional to 1,223.81, 1,835.93 and 402.12 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.81 : 1,835.93 = 402.12 : x
  2. Step 2: Convert to fraction form
    1,223.81/1,835.93 = 402.12/x
  3. Step 3: Cross multiply
    1,223.81x = 1,835.93 × 402.12
  4. Step 4: Simplify right side
    1,223.81x = 738,264.17
  5. Step 5: Solve for x
    x = 738,264.17/1,223.81
  6. Step 6: Final answer
    x = 603.25

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Why These Related Problems?

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