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Finding the Fourth Proportional to 701.59, 1,056.05 and 595.89

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Solution

The fourth proportional to 701.59, 1,056.05 and 595.89 is: 896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.59 : 1,056.05 = 595.89 : x
  2. Step 2: Convert to fraction form
    701.59/1,056.05 = 595.89/x
  3. Step 3: Cross multiply
    701.59x = 1,056.05 × 595.89
  4. Step 4: Simplify right side
    701.59x = 629,281.37
  5. Step 5: Solve for x
    x = 629,281.37/701.59
  6. Step 6: Final answer
    x = 896.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.