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Finding the Fourth Proportional to 895.96, 1,236.59 and 522.93

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Solution

The fourth proportional to 895.96, 1,236.59 and 522.93 is: 721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.96 : 1,236.59 = 522.93 : x
  2. Step 2: Convert to fraction form
    895.96/1,236.59 = 522.93/x
  3. Step 3: Cross multiply
    895.96x = 1,236.59 × 522.93
  4. Step 4: Simplify right side
    895.96x = 646,650.01
  5. Step 5: Solve for x
    x = 646,650.01/895.96
  6. Step 6: Final answer
    x = 721.74

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Why These Related Problems?

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