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Finding the Fourth Proportional to 861.84, 1,189.34 and 507.77

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Solution

The fourth proportional to 861.84, 1,189.34 and 507.77 is: 700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,189.34 = 507.77 : x
  2. Step 2: Convert to fraction form
    861.84/1,189.34 = 507.77/x
  3. Step 3: Cross multiply
    861.84x = 1,189.34 × 507.77
  4. Step 4: Simplify right side
    861.84x = 603,911.17
  5. Step 5: Solve for x
    x = 603,911.17/861.84
  6. Step 6: Final answer
    x = 700.72

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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.