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Finding the Fourth Proportional to 1,310.64, 1,965.93 and 444.93

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Solution

The fourth proportional to 1,310.64, 1,965.93 and 444.93 is: 667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.64 : 1,965.93 = 444.93 : x
  2. Step 2: Convert to fraction form
    1,310.64/1,965.93 = 444.93/x
  3. Step 3: Cross multiply
    1,310.64x = 1,965.93 × 444.93
  4. Step 4: Simplify right side
    1,310.64x = 874,701.23
  5. Step 5: Solve for x
    x = 874,701.23/1,310.64
  6. Step 6: Final answer
    x = 667.38

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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.