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Finding the Fourth Proportional to 1,207.37, 1,809.30 and 897.77

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Solution

The fourth proportional to 1,207.37, 1,809.30 and 897.77 is: 1,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.37 : 1,809.30 = 897.77 : x
  2. Step 2: Convert to fraction form
    1,207.37/1,809.30 = 897.77/x
  3. Step 3: Cross multiply
    1,207.37x = 1,809.30 × 897.77
  4. Step 4: Simplify right side
    1,207.37x = 1,624,335.26
  5. Step 5: Solve for x
    x = 1,624,335.26/1,207.37
  6. Step 6: Final answer
    x = 1,345.35

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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.