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Finding the Fourth Proportional to 1,303.83, 1,799.26 and 714.35

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Solution

The fourth proportional to 1,303.83, 1,799.26 and 714.35 is: 985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.83 : 1,799.26 = 714.35 : x
  2. Step 2: Convert to fraction form
    1,303.83/1,799.26 = 714.35/x
  3. Step 3: Cross multiply
    1,303.83x = 1,799.26 × 714.35
  4. Step 4: Simplify right side
    1,303.83x = 1,285,304.09
  5. Step 5: Solve for x
    x = 1,285,304.09/1,303.83
  6. Step 6: Final answer
    x = 985.79

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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.