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Finding the Fourth Proportional to 653.46, 895.93 and 641.77

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Solution

The fourth proportional to 653.46, 895.93 and 641.77 is: 879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.46 : 895.93 = 641.77 : x
  2. Step 2: Convert to fraction form
    653.46/895.93 = 641.77/x
  3. Step 3: Cross multiply
    653.46x = 895.93 × 641.77
  4. Step 4: Simplify right side
    653.46x = 574,977.15
  5. Step 5: Solve for x
    x = 574,977.15/653.46
  6. Step 6: Final answer
    x = 879.90

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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.