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Finding the Fourth Proportional to 1,304.09, 1,799.66 and 714.64

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Solution

The fourth proportional to 1,304.09, 1,799.66 and 714.64 is: 986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.09 : 1,799.66 = 714.64 : x
  2. Step 2: Convert to fraction form
    1,304.09/1,799.66 = 714.64/x
  3. Step 3: Cross multiply
    1,304.09x = 1,799.66 × 714.64
  4. Step 4: Simplify right side
    1,304.09x = 1,286,096.45
  5. Step 5: Solve for x
    x = 1,286,096.45/1,304.09
  6. Step 6: Final answer
    x = 986.20

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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.