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Finding the Fourth Proportional to 705.64, 1,059.42 and 534.76

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Solution

The fourth proportional to 705.64, 1,059.42 and 534.76 is: 802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.64 : 1,059.42 = 534.76 : x
  2. Step 2: Convert to fraction form
    705.64/1,059.42 = 534.76/x
  3. Step 3: Cross multiply
    705.64x = 1,059.42 × 534.76
  4. Step 4: Simplify right side
    705.64x = 566,535.44
  5. Step 5: Solve for x
    x = 566,535.44/705.64
  6. Step 6: Final answer
    x = 802.87

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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.