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Finding the Fourth Proportional to 1,043.66, 1,439.40 and 670.64

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Solution

The fourth proportional to 1,043.66, 1,439.40 and 670.64 is: 924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.66 : 1,439.40 = 670.64 : x
  2. Step 2: Convert to fraction form
    1,043.66/1,439.40 = 670.64/x
  3. Step 3: Cross multiply
    1,043.66x = 1,439.40 × 670.64
  4. Step 4: Simplify right side
    1,043.66x = 965,319.22
  5. Step 5: Solve for x
    x = 965,319.22/1,043.66
  6. Step 6: Final answer
    x = 924.94

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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.