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Finding the Fourth Proportional to 1,307.98, 1,961.25 and 577.21

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Solution

The fourth proportional to 1,307.98, 1,961.25 and 577.21 is: 865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.98 : 1,961.25 = 577.21 : x
  2. Step 2: Convert to fraction form
    1,307.98/1,961.25 = 577.21/x
  3. Step 3: Cross multiply
    1,307.98x = 1,961.25 × 577.21
  4. Step 4: Simplify right side
    1,307.98x = 1,132,053.11
  5. Step 5: Solve for x
    x = 1,132,053.11/1,307.98
  6. Step 6: Final answer
    x = 865.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.