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Finding the Fourth Proportional to 1,307.08, 1,961.25 and 649.00

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Solution

The fourth proportional to 1,307.08, 1,961.25 and 649.00 is: 973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.08 : 1,961.25 = 649.00 : x
  2. Step 2: Convert to fraction form
    1,307.08/1,961.25 = 649.00/x
  3. Step 3: Cross multiply
    1,307.08x = 1,961.25 × 649.00
  4. Step 4: Simplify right side
    1,307.08x = 1,272,838.20
  5. Step 5: Solve for x
    x = 1,272,838.20/1,307.08
  6. Step 6: Final answer
    x = 973.81

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