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Finding the Fourth Proportional to 1,307.13, 1,961.33 and 649.07

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Solution

The fourth proportional to 1,307.13, 1,961.33 and 649.07 is: 973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.13 : 1,961.33 = 649.07 : x
  2. Step 2: Convert to fraction form
    1,307.13/1,961.33 = 649.07/x
  3. Step 3: Cross multiply
    1,307.13x = 1,961.33 × 649.07
  4. Step 4: Simplify right side
    1,307.13x = 1,273,034.77
  5. Step 5: Solve for x
    x = 1,273,034.77/1,307.13
  6. Step 6: Final answer
    x = 973.92

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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.