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Finding the Fourth Proportional to 913.36, 1,259.80 and 564.24

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Solution

The fourth proportional to 913.36, 1,259.80 and 564.24 is: 778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.36 : 1,259.80 = 564.24 : x
  2. Step 2: Convert to fraction form
    913.36/1,259.80 = 564.24/x
  3. Step 3: Cross multiply
    913.36x = 1,259.80 × 564.24
  4. Step 4: Simplify right side
    913.36x = 710,829.55
  5. Step 5: Solve for x
    x = 710,829.55/913.36
  6. Step 6: Final answer
    x = 778.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.