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Finding the Fourth Proportional to 895.94, 1,343.43 and 409.10

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Solution

The fourth proportional to 895.94, 1,343.43 and 409.10 is: 613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.94 : 1,343.43 = 409.10 : x
  2. Step 2: Convert to fraction form
    895.94/1,343.43 = 409.10/x
  3. Step 3: Cross multiply
    895.94x = 1,343.43 × 409.10
  4. Step 4: Simplify right side
    895.94x = 549,597.21
  5. Step 5: Solve for x
    x = 549,597.21/895.94
  6. Step 6: Final answer
    x = 613.43

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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.