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Finding the Fourth Proportional to 1,310.46, 1,808.40 and 720.98

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Solution

The fourth proportional to 1,310.46, 1,808.40 and 720.98 is: 994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.46 : 1,808.40 = 720.98 : x
  2. Step 2: Convert to fraction form
    1,310.46/1,808.40 = 720.98/x
  3. Step 3: Cross multiply
    1,310.46x = 1,808.40 × 720.98
  4. Step 4: Simplify right side
    1,310.46x = 1,303,820.23
  5. Step 5: Solve for x
    x = 1,303,820.23/1,310.46
  6. Step 6: Final answer
    x = 994.93

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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.