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Finding the Fourth Proportional to 895.79, 1,234.89 and 646.71

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Solution

The fourth proportional to 895.79, 1,234.89 and 646.71 is: 891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.79 : 1,234.89 = 646.71 : x
  2. Step 2: Convert to fraction form
    895.79/1,234.89 = 646.71/x
  3. Step 3: Cross multiply
    895.79x = 1,234.89 × 646.71
  4. Step 4: Simplify right side
    895.79x = 798,615.71
  5. Step 5: Solve for x
    x = 798,615.71/895.79
  6. Step 6: Final answer
    x = 891.53

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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.