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Finding the Fourth Proportional to 1,164.64, 1,747.64 and 471.64

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Solution

The fourth proportional to 1,164.64, 1,747.64 and 471.64 is: 707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.64 : 1,747.64 = 471.64 : x
  2. Step 2: Convert to fraction form
    1,164.64/1,747.64 = 471.64/x
  3. Step 3: Cross multiply
    1,164.64x = 1,747.64 × 471.64
  4. Step 4: Simplify right side
    1,164.64x = 824,256.93
  5. Step 5: Solve for x
    x = 824,256.93/1,164.64
  6. Step 6: Final answer
    x = 707.74

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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.