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Finding the Fourth Proportional to 1,059.72, 1,588.94 and 474.61

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Solution

The fourth proportional to 1,059.72, 1,588.94 and 474.61 is: 711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.72 : 1,588.94 = 474.61 : x
  2. Step 2: Convert to fraction form
    1,059.72/1,588.94 = 474.61/x
  3. Step 3: Cross multiply
    1,059.72x = 1,588.94 × 474.61
  4. Step 4: Simplify right side
    1,059.72x = 754,126.81
  5. Step 5: Solve for x
    x = 754,126.81/1,059.72
  6. Step 6: Final answer
    x = 711.63

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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.