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Finding the Fourth Proportional to 895.48, 1,343.14 and 348.04

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Solution

The fourth proportional to 895.48, 1,343.14 and 348.04 is: 522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.48 : 1,343.14 = 348.04 : x
  2. Step 2: Convert to fraction form
    895.48/1,343.14 = 348.04/x
  3. Step 3: Cross multiply
    895.48x = 1,343.14 × 348.04
  4. Step 4: Simplify right side
    895.48x = 467,466.45
  5. Step 5: Solve for x
    x = 467,466.45/895.48
  6. Step 6: Final answer
    x = 522.03

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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.