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Finding the Fourth Proportional to 586.20, 833.70 and 586.20

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Solution

The fourth proportional to 586.20, 833.70 and 586.20 is: 833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.20 : 833.70 = 586.20 : x
  2. Step 2: Convert to fraction form
    586.20/833.70 = 586.20/x
  3. Step 3: Cross multiply
    586.20x = 833.70 × 586.20
  4. Step 4: Simplify right side
    586.20x = 488,714.94
  5. Step 5: Solve for x
    x = 488,714.94/586.20
  6. Step 6: Final answer
    x = 833.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.