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Finding the Fourth Proportional to 1,304.07, 1,799.63 and 714.63

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Solution

The fourth proportional to 1,304.07, 1,799.63 and 714.63 is: 986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.07 : 1,799.63 = 714.63 : x
  2. Step 2: Convert to fraction form
    1,304.07/1,799.63 = 714.63/x
  3. Step 3: Cross multiply
    1,304.07x = 1,799.63 × 714.63
  4. Step 4: Simplify right side
    1,304.07x = 1,286,066.01
  5. Step 5: Solve for x
    x = 1,286,066.01/1,304.07
  6. Step 6: Final answer
    x = 986.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.