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Finding the Fourth Proportional to 897.57, 1,346.34 and 782.09

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Solution

The fourth proportional to 897.57, 1,346.34 and 782.09 is: 1,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.57 : 1,346.34 = 782.09 : x
  2. Step 2: Convert to fraction form
    897.57/1,346.34 = 782.09/x
  3. Step 3: Cross multiply
    897.57x = 1,346.34 × 782.09
  4. Step 4: Simplify right side
    897.57x = 1,052,952.32
  5. Step 5: Solve for x
    x = 1,052,952.32/897.57
  6. Step 6: Final answer
    x = 1,173.11

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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.