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Finding the Fourth Proportional to 858.59, 1,288.80 and 534.19

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Solution

The fourth proportional to 858.59, 1,288.80 and 534.19 is: 801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.59 : 1,288.80 = 534.19 : x
  2. Step 2: Convert to fraction form
    858.59/1,288.80 = 534.19/x
  3. Step 3: Cross multiply
    858.59x = 1,288.80 × 534.19
  4. Step 4: Simplify right side
    858.59x = 688,460.85
  5. Step 5: Solve for x
    x = 688,460.85/858.59
  6. Step 6: Final answer
    x = 801.85

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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.