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Finding the Fourth Proportional to 1,273.95, 1,758.14 and 714.46

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Solution

The fourth proportional to 1,273.95, 1,758.14 and 714.46 is: 986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.95 : 1,758.14 = 714.46 : x
  2. Step 2: Convert to fraction form
    1,273.95/1,758.14 = 714.46/x
  3. Step 3: Cross multiply
    1,273.95x = 1,758.14 × 714.46
  4. Step 4: Simplify right side
    1,273.95x = 1,256,109.44
  5. Step 5: Solve for x
    x = 1,256,109.44/1,273.95
  6. Step 6: Final answer
    x = 986.00

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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.