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Finding the Fourth Proportional to 1,145.69, 1,580.86 and 697.31

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Solution

The fourth proportional to 1,145.69, 1,580.86 and 697.31 is: 962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.69 : 1,580.86 = 697.31 : x
  2. Step 2: Convert to fraction form
    1,145.69/1,580.86 = 697.31/x
  3. Step 3: Cross multiply
    1,145.69x = 1,580.86 × 697.31
  4. Step 4: Simplify right side
    1,145.69x = 1,102,346.00
  5. Step 5: Solve for x
    x = 1,102,346.00/1,145.69
  6. Step 6: Final answer
    x = 962.17

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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.