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Finding the Fourth Proportional to 582.92, 875 and 569.86

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Solution

The fourth proportional to 582.92, 875 and 569.86 is: 855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.92 : 875 = 569.86 : x
  2. Step 2: Convert to fraction form
    582.92/875 = 569.86/x
  3. Step 3: Cross multiply
    582.92x = 875 × 569.86
  4. Step 4: Simplify right side
    582.92x = 498,627.50
  5. Step 5: Solve for x
    x = 498,627.50/582.92
  6. Step 6: Final answer
    x = 855.40

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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.