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Finding the Fourth Proportional to 758.18, 1,045.23 and 640.64

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Solution

The fourth proportional to 758.18, 1,045.23 and 640.64 is: 883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.18 : 1,045.23 = 640.64 : x
  2. Step 2: Convert to fraction form
    758.18/1,045.23 = 640.64/x
  3. Step 3: Cross multiply
    758.18x = 1,045.23 × 640.64
  4. Step 4: Simplify right side
    758.18x = 669,616.15
  5. Step 5: Solve for x
    x = 669,616.15/758.18
  6. Step 6: Final answer
    x = 883.19

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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.