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Finding the Fourth Proportional to 683.86, 1,024.71 and 530.20

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Solution

The fourth proportional to 683.86, 1,024.71 and 530.20 is: 794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.86 : 1,024.71 = 530.20 : x
  2. Step 2: Convert to fraction form
    683.86/1,024.71 = 530.20/x
  3. Step 3: Cross multiply
    683.86x = 1,024.71 × 530.20
  4. Step 4: Simplify right side
    683.86x = 543,301.24
  5. Step 5: Solve for x
    x = 543,301.24/683.86
  6. Step 6: Final answer
    x = 794.46

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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.