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Finding the Fourth Proportional to 1,303.71, 1,799.16 and 714.29

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Solution

The fourth proportional to 1,303.71, 1,799.16 and 714.29 is: 985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.71 : 1,799.16 = 714.29 : x
  2. Step 2: Convert to fraction form
    1,303.71/1,799.16 = 714.29/x
  3. Step 3: Cross multiply
    1,303.71x = 1,799.16 × 714.29
  4. Step 4: Simplify right side
    1,303.71x = 1,285,113.00
  5. Step 5: Solve for x
    x = 1,285,113.00/1,303.71
  6. Step 6: Final answer
    x = 985.74

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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.