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Finding the Fourth Proportional to 1,059.33, 1,588.99 and 410.06

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Solution

The fourth proportional to 1,059.33, 1,588.99 and 410.06 is: 615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.33 : 1,588.99 = 410.06 : x
  2. Step 2: Convert to fraction form
    1,059.33/1,588.99 = 410.06/x
  3. Step 3: Cross multiply
    1,059.33x = 1,588.99 × 410.06
  4. Step 4: Simplify right side
    1,059.33x = 651,586.11
  5. Step 5: Solve for x
    x = 651,586.11/1,059.33
  6. Step 6: Final answer
    x = 615.09

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Why These Related Problems?

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