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Finding the Fourth Proportional to 1,145.37, 1,580.23 and 697.40

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Solution

The fourth proportional to 1,145.37, 1,580.23 and 697.40 is: 962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.37 : 1,580.23 = 697.40 : x
  2. Step 2: Convert to fraction form
    1,145.37/1,580.23 = 697.40/x
  3. Step 3: Cross multiply
    1,145.37x = 1,580.23 × 697.40
  4. Step 4: Simplify right side
    1,145.37x = 1,102,052.40
  5. Step 5: Solve for x
    x = 1,102,052.40/1,145.37
  6. Step 6: Final answer
    x = 962.18

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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.