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Finding the Fourth Proportional to 582.34, 874 and 545.86

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Solution

The fourth proportional to 582.34, 874 and 545.86 is: 819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.34 : 874 = 545.86 : x
  2. Step 2: Convert to fraction form
    582.34/874 = 545.86/x
  3. Step 3: Cross multiply
    582.34x = 874 × 545.86
  4. Step 4: Simplify right side
    582.34x = 477,081.64
  5. Step 5: Solve for x
    x = 477,081.64/582.34
  6. Step 6: Final answer
    x = 819.25

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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.