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Finding the Fourth Proportional to 1,564.46, 2,346.47 and 524.42

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Solution

The fourth proportional to 1,564.46, 2,346.47 and 524.42 is: 786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.46 : 2,346.47 = 524.42 : x
  2. Step 2: Convert to fraction form
    1,564.46/2,346.47 = 524.42/x
  3. Step 3: Cross multiply
    1,564.46x = 2,346.47 × 524.42
  4. Step 4: Simplify right side
    1,564.46x = 1,230,545.41
  5. Step 5: Solve for x
    x = 1,230,545.41/1,564.46
  6. Step 6: Final answer
    x = 786.56

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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.