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Finding the Fourth Proportional to 1,039.63, 1,434.29 and 666.55

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Solution

The fourth proportional to 1,039.63, 1,434.29 and 666.55 is: 919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.63 : 1,434.29 = 666.55 : x
  2. Step 2: Convert to fraction form
    1,039.63/1,434.29 = 666.55/x
  3. Step 3: Cross multiply
    1,039.63x = 1,434.29 × 666.55
  4. Step 4: Simplify right side
    1,039.63x = 956,026.00
  5. Step 5: Solve for x
    x = 956,026.00/1,039.63
  6. Step 6: Final answer
    x = 919.58

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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.