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Finding the Fourth Proportional to 670.53, 1,005.85 and 183.59

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Solution

The fourth proportional to 670.53, 1,005.85 and 183.59 is: 275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.53 : 1,005.85 = 183.59 : x
  2. Step 2: Convert to fraction form
    670.53/1,005.85 = 183.59/x
  3. Step 3: Cross multiply
    670.53x = 1,005.85 × 183.59
  4. Step 4: Simplify right side
    670.53x = 184,664.00
  5. Step 5: Solve for x
    x = 184,664.00/670.53
  6. Step 6: Final answer
    x = 275.40

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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.