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Finding the Fourth Proportional to 913.40, 1,260.06 and 564.02

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Solution

The fourth proportional to 913.40, 1,260.06 and 564.02 is: 778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.40 : 1,260.06 = 564.02 : x
  2. Step 2: Convert to fraction form
    913.40/1,260.06 = 564.02/x
  3. Step 3: Cross multiply
    913.40x = 1,260.06 × 564.02
  4. Step 4: Simplify right side
    913.40x = 710,699.04
  5. Step 5: Solve for x
    x = 710,699.04/913.40
  6. Step 6: Final answer
    x = 778.08

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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.