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Finding the Fourth Proportional to 653.04, 896.76 and 628.74

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Solution

The fourth proportional to 653.04, 896.76 and 628.74 is: 863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 896.76 = 628.74 : x
  2. Step 2: Convert to fraction form
    653.04/896.76 = 628.74/x
  3. Step 3: Cross multiply
    653.04x = 896.76 × 628.74
  4. Step 4: Simplify right side
    653.04x = 563,828.88
  5. Step 5: Solve for x
    x = 563,828.88/653.04
  6. Step 6: Final answer
    x = 863.39

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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.