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Finding the Fourth Proportional to 670.98, 924.30 and 583.50

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Solution

The fourth proportional to 670.98, 924.30 and 583.50 is: 803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.98 : 924.30 = 583.50 : x
  2. Step 2: Convert to fraction form
    670.98/924.30 = 583.50/x
  3. Step 3: Cross multiply
    670.98x = 924.30 × 583.50
  4. Step 4: Simplify right side
    670.98x = 539,329.05
  5. Step 5: Solve for x
    x = 539,329.05/670.98
  6. Step 6: Final answer
    x = 803.79

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