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Finding the Fourth Proportional to 758.36, 1,047.74 and 564.37

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Solution

The fourth proportional to 758.36, 1,047.74 and 564.37 is: 779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.36 : 1,047.74 = 564.37 : x
  2. Step 2: Convert to fraction form
    758.36/1,047.74 = 564.37/x
  3. Step 3: Cross multiply
    758.36x = 1,047.74 × 564.37
  4. Step 4: Simplify right side
    758.36x = 591,307.58
  5. Step 5: Solve for x
    x = 591,307.58/758.36
  6. Step 6: Final answer
    x = 779.72

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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.