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Finding the Fourth Proportional to 1,059.18, 1,588.73 and 496.23

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Solution

The fourth proportional to 1,059.18, 1,588.73 and 496.23 is: 744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.18 : 1,588.73 = 496.23 : x
  2. Step 2: Convert to fraction form
    1,059.18/1,588.73 = 496.23/x
  3. Step 3: Cross multiply
    1,059.18x = 1,588.73 × 496.23
  4. Step 4: Simplify right side
    1,059.18x = 788,373.01
  5. Step 5: Solve for x
    x = 788,373.01/1,059.18
  6. Step 6: Final answer
    x = 744.32

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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.