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Finding the Fourth Proportional to 1,164.06, 1,745.64 and 616.74

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Solution

The fourth proportional to 1,164.06, 1,745.64 and 616.74 is: 924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.06 : 1,745.64 = 616.74 : x
  2. Step 2: Convert to fraction form
    1,164.06/1,745.64 = 616.74/x
  3. Step 3: Cross multiply
    1,164.06x = 1,745.64 × 616.74
  4. Step 4: Simplify right side
    1,164.06x = 1,076,606.01
  5. Step 5: Solve for x
    x = 1,076,606.01/1,164.06
  6. Step 6: Final answer
    x = 924.87

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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.