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Finding the Fourth Proportional to 1,059.84, 1,588.01 and 410.22

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Solution

The fourth proportional to 1,059.84, 1,588.01 and 410.22 is: 614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.84 : 1,588.01 = 410.22 : x
  2. Step 2: Convert to fraction form
    1,059.84/1,588.01 = 410.22/x
  3. Step 3: Cross multiply
    1,059.84x = 1,588.01 × 410.22
  4. Step 4: Simplify right side
    1,059.84x = 651,431.41
  5. Step 5: Solve for x
    x = 651,431.41/1,059.84
  6. Step 6: Final answer
    x = 614.65

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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.