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Finding the Fourth Proportional to 913.64, 1,260.82 and 530.44

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Solution

The fourth proportional to 913.64, 1,260.82 and 530.44 is: 732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.64 : 1,260.82 = 530.44 : x
  2. Step 2: Convert to fraction form
    913.64/1,260.82 = 530.44/x
  3. Step 3: Cross multiply
    913.64x = 1,260.82 × 530.44
  4. Step 4: Simplify right side
    913.64x = 668,789.36
  5. Step 5: Solve for x
    x = 668,789.36/913.64
  6. Step 6: Final answer
    x = 732.01

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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.