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Finding the Fourth Proportional to 895.84, 1,343.82 and 348.02

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Solution

The fourth proportional to 895.84, 1,343.82 and 348.02 is: 522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.84 : 1,343.82 = 348.02 : x
  2. Step 2: Convert to fraction form
    895.84/1,343.82 = 348.02/x
  3. Step 3: Cross multiply
    895.84x = 1,343.82 × 348.02
  4. Step 4: Simplify right side
    895.84x = 467,676.24
  5. Step 5: Solve for x
    x = 467,676.24/895.84
  6. Step 6: Final answer
    x = 522.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.