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Finding the Fourth Proportional to 649.04, 889.68 and 646.16

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Solution

The fourth proportional to 649.04, 889.68 and 646.16 is: 885.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 889.68 = 646.16 : x
  2. Step 2: Convert to fraction form
    649.04/889.68 = 646.16/x
  3. Step 3: Cross multiply
    649.04x = 889.68 × 646.16
  4. Step 4: Simplify right side
    649.04x = 574,875.63
  5. Step 5: Solve for x
    x = 574,875.63/649.04
  6. Step 6: Final answer
    x = 885.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.