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Finding the Fourth Proportional to 670.55, 1,003.30 and 465.51

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Solution

The fourth proportional to 670.55, 1,003.30 and 465.51 is: 696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.55 : 1,003.30 = 465.51 : x
  2. Step 2: Convert to fraction form
    670.55/1,003.30 = 465.51/x
  3. Step 3: Cross multiply
    670.55x = 1,003.30 × 465.51
  4. Step 4: Simplify right side
    670.55x = 467,045.02
  5. Step 5: Solve for x
    x = 467,045.02/670.55
  6. Step 6: Final answer
    x = 696.52

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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.