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Finding the Fourth Proportional to 1,059.74, 1,588.56 and 503.47

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Solution

The fourth proportional to 1,059.74, 1,588.56 and 503.47 is: 754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.74 : 1,588.56 = 503.47 : x
  2. Step 2: Convert to fraction form
    1,059.74/1,588.56 = 503.47/x
  3. Step 3: Cross multiply
    1,059.74x = 1,588.56 × 503.47
  4. Step 4: Simplify right side
    1,059.74x = 799,794.39
  5. Step 5: Solve for x
    x = 799,794.39/1,059.74
  6. Step 6: Final answer
    x = 754.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.