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Finding the Fourth Proportional to 586.54, 877.19 and 521.92

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Solution

The fourth proportional to 586.54, 877.19 and 521.92 is: 780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.54 : 877.19 = 521.92 : x
  2. Step 2: Convert to fraction form
    586.54/877.19 = 521.92/x
  3. Step 3: Cross multiply
    586.54x = 877.19 × 521.92
  4. Step 4: Simplify right side
    586.54x = 457,820.40
  5. Step 5: Solve for x
    x = 457,820.40/586.54
  6. Step 6: Final answer
    x = 780.54

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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.