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Finding the Fourth Proportional to 1,145.25, 1,580.51 and 697.43

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Solution

The fourth proportional to 1,145.25, 1,580.51 and 697.43 is: 962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.25 : 1,580.51 = 697.43 : x
  2. Step 2: Convert to fraction form
    1,145.25/1,580.51 = 697.43/x
  3. Step 3: Cross multiply
    1,145.25x = 1,580.51 × 697.43
  4. Step 4: Simplify right side
    1,145.25x = 1,102,300.78
  5. Step 5: Solve for x
    x = 1,102,300.78/1,145.25
  6. Step 6: Final answer
    x = 962.50

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