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Finding the Fourth Proportional to 582.69, 874.40 and 527.95

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Solution

The fourth proportional to 582.69, 874.40 and 527.95 is: 792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 874.40 = 527.95 : x
  2. Step 2: Convert to fraction form
    582.69/874.40 = 527.95/x
  3. Step 3: Cross multiply
    582.69x = 874.40 × 527.95
  4. Step 4: Simplify right side
    582.69x = 461,636.84
  5. Step 5: Solve for x
    x = 461,636.84/582.69
  6. Step 6: Final answer
    x = 792.26

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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.