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Finding the Fourth Proportional to 897.10, 1,237.26 and 564.94

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Solution

The fourth proportional to 897.10, 1,237.26 and 564.94 is: 779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.10 : 1,237.26 = 564.94 : x
  2. Step 2: Convert to fraction form
    897.10/1,237.26 = 564.94/x
  3. Step 3: Cross multiply
    897.10x = 1,237.26 × 564.94
  4. Step 4: Simplify right side
    897.10x = 698,977.66
  5. Step 5: Solve for x
    x = 698,977.66/897.10
  6. Step 6: Final answer
    x = 779.15

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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.