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Finding the Fourth Proportional to 670.83, 1,004.77 and 553.95

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Solution

The fourth proportional to 670.83, 1,004.77 and 553.95 is: 829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.83 : 1,004.77 = 553.95 : x
  2. Step 2: Convert to fraction form
    670.83/1,004.77 = 553.95/x
  3. Step 3: Cross multiply
    670.83x = 1,004.77 × 553.95
  4. Step 4: Simplify right side
    670.83x = 556,592.34
  5. Step 5: Solve for x
    x = 556,592.34/670.83
  6. Step 6: Final answer
    x = 829.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.