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Finding the Fourth Proportional to 1,223.80, 1,835.70 and 358.11

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Solution

The fourth proportional to 1,223.80, 1,835.70 and 358.11 is: 537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.80 : 1,835.70 = 358.11 : x
  2. Step 2: Convert to fraction form
    1,223.80/1,835.70 = 358.11/x
  3. Step 3: Cross multiply
    1,223.80x = 1,835.70 × 358.11
  4. Step 4: Simplify right side
    1,223.80x = 657,381.18
  5. Step 5: Solve for x
    x = 657,381.18/1,223.80
  6. Step 6: Final answer
    x = 537.17

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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.