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Finding the Fourth Proportional to 1,069.34, 1,475.29 and 649.41

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Solution

The fourth proportional to 1,069.34, 1,475.29 and 649.41 is: 895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.34 : 1,475.29 = 649.41 : x
  2. Step 2: Convert to fraction form
    1,069.34/1,475.29 = 649.41/x
  3. Step 3: Cross multiply
    1,069.34x = 1,475.29 × 649.41
  4. Step 4: Simplify right side
    1,069.34x = 958,066.46
  5. Step 5: Solve for x
    x = 958,066.46/1,069.34
  6. Step 6: Final answer
    x = 895.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.