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Finding the Fourth Proportional to 1,564.97, 2,347.27 and 410.81

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Solution

The fourth proportional to 1,564.97, 2,347.27 and 410.81 is: 616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.97 : 2,347.27 = 410.81 : x
  2. Step 2: Convert to fraction form
    1,564.97/2,347.27 = 410.81/x
  3. Step 3: Cross multiply
    1,564.97x = 2,347.27 × 410.81
  4. Step 4: Simplify right side
    1,564.97x = 964,269.23
  5. Step 5: Solve for x
    x = 964,269.23/1,564.97
  6. Step 6: Final answer
    x = 616.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.