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Finding the Fourth Proportional to 1,059.35, 1,588.59 and 442.73

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Solution

The fourth proportional to 1,059.35, 1,588.59 and 442.73 is: 663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.35 : 1,588.59 = 442.73 : x
  2. Step 2: Convert to fraction form
    1,059.35/1,588.59 = 442.73/x
  3. Step 3: Cross multiply
    1,059.35x = 1,588.59 × 442.73
  4. Step 4: Simplify right side
    1,059.35x = 703,308.51
  5. Step 5: Solve for x
    x = 703,308.51/1,059.35
  6. Step 6: Final answer
    x = 663.91

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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.