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Finding the Fourth Proportional to 1,059.10, 1,588.75 and 328.48

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Solution

The fourth proportional to 1,059.10, 1,588.75 and 328.48 is: 492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.10 : 1,588.75 = 328.48 : x
  2. Step 2: Convert to fraction form
    1,059.10/1,588.75 = 328.48/x
  3. Step 3: Cross multiply
    1,059.10x = 1,588.75 × 328.48
  4. Step 4: Simplify right side
    1,059.10x = 521,867.81
  5. Step 5: Solve for x
    x = 521,867.81/1,059.10
  6. Step 6: Final answer
    x = 492.75

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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.