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Finding the Fourth Proportional to 913.11, 1,259.31 and 581.64

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Solution

The fourth proportional to 913.11, 1,259.31 and 581.64 is: 802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.11 : 1,259.31 = 581.64 : x
  2. Step 2: Convert to fraction form
    913.11/1,259.31 = 581.64/x
  3. Step 3: Cross multiply
    913.11x = 1,259.31 × 581.64
  4. Step 4: Simplify right side
    913.11x = 732,465.07
  5. Step 5: Solve for x
    x = 732,465.07/913.11
  6. Step 6: Final answer
    x = 802.17

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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.