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Finding the Fourth Proportional to 1,059.99, 1,588.46 and 713.71

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Solution

The fourth proportional to 1,059.99, 1,588.46 and 713.71 is: 1,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.99 : 1,588.46 = 713.71 : x
  2. Step 2: Convert to fraction form
    1,059.99/1,588.46 = 713.71/x
  3. Step 3: Cross multiply
    1,059.99x = 1,588.46 × 713.71
  4. Step 4: Simplify right side
    1,059.99x = 1,133,702.22
  5. Step 5: Solve for x
    x = 1,133,702.22/1,059.99
  6. Step 6: Final answer
    x = 1,069.54

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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.