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Finding the Fourth Proportional to 1,141.92, 1,575 and 1,059.12

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Solution

The fourth proportional to 1,141.92, 1,575 and 1,059.12 is: 1,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.92 : 1,575 = 1,059.12 : x
  2. Step 2: Convert to fraction form
    1,141.92/1,575 = 1,059.12/x
  3. Step 3: Cross multiply
    1,141.92x = 1,575 × 1,059.12
  4. Step 4: Simplify right side
    1,141.92x = 1,668,114.00
  5. Step 5: Solve for x
    x = 1,668,114.00/1,141.92
  6. Step 6: Final answer
    x = 1,460.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.