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Finding the Fourth Proportional to 1,223.88, 1,834.09 and 530.01

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Solution

The fourth proportional to 1,223.88, 1,834.09 and 530.01 is: 794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.88 : 1,834.09 = 530.01 : x
  2. Step 2: Convert to fraction form
    1,223.88/1,834.09 = 530.01/x
  3. Step 3: Cross multiply
    1,223.88x = 1,834.09 × 530.01
  4. Step 4: Simplify right side
    1,223.88x = 972,086.04
  5. Step 5: Solve for x
    x = 972,086.04/1,223.88
  6. Step 6: Final answer
    x = 794.27

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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.