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Finding the Fourth Proportional to 1,059.33, 1,588.98 and 289.83

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Solution

The fourth proportional to 1,059.33, 1,588.98 and 289.83 is: 434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.33 : 1,588.98 = 289.83 : x
  2. Step 2: Convert to fraction form
    1,059.33/1,588.98 = 289.83/x
  3. Step 3: Cross multiply
    1,059.33x = 1,588.98 × 289.83
  4. Step 4: Simplify right side
    1,059.33x = 460,534.07
  5. Step 5: Solve for x
    x = 460,534.07/1,059.33
  6. Step 6: Final answer
    x = 434.74

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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.