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Finding the Fourth Proportional to 1,308.25, 1,805.34 and 710.72

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Solution

The fourth proportional to 1,308.25, 1,805.34 and 710.72 is: 980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.25 : 1,805.34 = 710.72 : x
  2. Step 2: Convert to fraction form
    1,308.25/1,805.34 = 710.72/x
  3. Step 3: Cross multiply
    1,308.25x = 1,805.34 × 710.72
  4. Step 4: Simplify right side
    1,308.25x = 1,283,091.24
  5. Step 5: Solve for x
    x = 1,283,091.24/1,308.25
  6. Step 6: Final answer
    x = 980.77

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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.