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Finding the Fourth Proportional to 1,299.59, 1,793.45 and 710.14

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Solution

The fourth proportional to 1,299.59, 1,793.45 and 710.14 is: 980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.59 : 1,793.45 = 710.14 : x
  2. Step 2: Convert to fraction form
    1,299.59/1,793.45 = 710.14/x
  3. Step 3: Cross multiply
    1,299.59x = 1,793.45 × 710.14
  4. Step 4: Simplify right side
    1,299.59x = 1,273,600.58
  5. Step 5: Solve for x
    x = 1,273,600.58/1,299.59
  6. Step 6: Final answer
    x = 980.00

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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.