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Finding the Fourth Proportional to 690.06, 1,039.96 and 649.02

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Solution

The fourth proportional to 690.06, 1,039.96 and 649.02 is: 978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.06 : 1,039.96 = 649.02 : x
  2. Step 2: Convert to fraction form
    690.06/1,039.96 = 649.02/x
  3. Step 3: Cross multiply
    690.06x = 1,039.96 × 649.02
  4. Step 4: Simplify right side
    690.06x = 674,953.22
  5. Step 5: Solve for x
    x = 674,953.22/690.06
  6. Step 6: Final answer
    x = 978.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.