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Finding the Fourth Proportional to 986.61, 1,478.65 and 524.61

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Solution

The fourth proportional to 986.61, 1,478.65 and 524.61 is: 786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.61 : 1,478.65 = 524.61 : x
  2. Step 2: Convert to fraction form
    986.61/1,478.65 = 524.61/x
  3. Step 3: Cross multiply
    986.61x = 1,478.65 × 524.61
  4. Step 4: Simplify right side
    986.61x = 775,710.34
  5. Step 5: Solve for x
    x = 775,710.34/986.61
  6. Step 6: Final answer
    x = 786.24

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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.