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Finding the Fourth Proportional to 1,564.74, 2,347.25 and 524.37

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Solution

The fourth proportional to 1,564.74, 2,347.25 and 524.37 is: 786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.74 : 2,347.25 = 524.37 : x
  2. Step 2: Convert to fraction form
    1,564.74/2,347.25 = 524.37/x
  3. Step 3: Cross multiply
    1,564.74x = 2,347.25 × 524.37
  4. Step 4: Simplify right side
    1,564.74x = 1,230,838.09
  5. Step 5: Solve for x
    x = 1,230,838.09/1,564.74
  6. Step 6: Final answer
    x = 786.61

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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.