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Finding the Fourth Proportional to 895.68, 1,344.18 and 409.07

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Solution

The fourth proportional to 895.68, 1,344.18 and 409.07 is: 613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.68 : 1,344.18 = 409.07 : x
  2. Step 2: Convert to fraction form
    895.68/1,344.18 = 409.07/x
  3. Step 3: Cross multiply
    895.68x = 1,344.18 × 409.07
  4. Step 4: Simplify right side
    895.68x = 549,856.99
  5. Step 5: Solve for x
    x = 549,856.99/895.68
  6. Step 6: Final answer
    x = 613.90

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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.