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Finding the Fourth Proportional to 895.64, 1,343.05 and 433.06

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Solution

The fourth proportional to 895.64, 1,343.05 and 433.06 is: 649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.64 : 1,343.05 = 433.06 : x
  2. Step 2: Convert to fraction form
    895.64/1,343.05 = 433.06/x
  3. Step 3: Cross multiply
    895.64x = 1,343.05 × 433.06
  4. Step 4: Simplify right side
    895.64x = 581,616.79
  5. Step 5: Solve for x
    x = 581,616.79/895.64
  6. Step 6: Final answer
    x = 649.39

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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.