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Finding the Fourth Proportional to 582.69, 798.89 and 572.29

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Solution

The fourth proportional to 582.69, 798.89 and 572.29 is: 784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 798.89 = 572.29 : x
  2. Step 2: Convert to fraction form
    582.69/798.89 = 572.29/x
  3. Step 3: Cross multiply
    582.69x = 798.89 × 572.29
  4. Step 4: Simplify right side
    582.69x = 457,196.76
  5. Step 5: Solve for x
    x = 457,196.76/582.69
  6. Step 6: Final answer
    x = 784.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.