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Finding the Fourth Proportional to 1,164.17, 1,606.10 and 666.55

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Solution

The fourth proportional to 1,164.17, 1,606.10 and 666.55 is: 919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.17 : 1,606.10 = 666.55 : x
  2. Step 2: Convert to fraction form
    1,164.17/1,606.10 = 666.55/x
  3. Step 3: Cross multiply
    1,164.17x = 1,606.10 × 666.55
  4. Step 4: Simplify right side
    1,164.17x = 1,070,543.61
  5. Step 5: Solve for x
    x = 1,070,543.61/1,164.17
  6. Step 6: Final answer
    x = 919.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.