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Finding the Fourth Proportional to 1,307.75, 1,961.62 and 577.13

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Solution

The fourth proportional to 1,307.75, 1,961.62 and 577.13 is: 865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.75 : 1,961.62 = 577.13 : x
  2. Step 2: Convert to fraction form
    1,307.75/1,961.62 = 577.13/x
  3. Step 3: Cross multiply
    1,307.75x = 1,961.62 × 577.13
  4. Step 4: Simplify right side
    1,307.75x = 1,132,098.50
  5. Step 5: Solve for x
    x = 1,132,098.50/1,307.75
  6. Step 6: Final answer
    x = 865.69

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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.