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Finding the Fourth Proportional to 649.66, 895.97 and 507.91

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Solution

The fourth proportional to 649.66, 895.97 and 507.91 is: 700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.66 : 895.97 = 507.91 : x
  2. Step 2: Convert to fraction form
    649.66/895.97 = 507.91/x
  3. Step 3: Cross multiply
    649.66x = 895.97 × 507.91
  4. Step 4: Simplify right side
    649.66x = 455,071.15
  5. Step 5: Solve for x
    x = 455,071.15/649.66
  6. Step 6: Final answer
    x = 700.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.