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Finding the Fourth Proportional to 1,733.08, 2,597.98 and 578

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Solution

The fourth proportional to 1,733.08, 2,597.98 and 578 is: 866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.08 : 2,597.98 = 578 : x
  2. Step 2: Convert to fraction form
    1,733.08/2,597.98 = 578/x
  3. Step 3: Cross multiply
    1,733.08x = 2,597.98 × 578
  4. Step 4: Simplify right side
    1,733.08x = 1,501,632.44
  5. Step 5: Solve for x
    x = 1,501,632.44/1,733.08
  6. Step 6: Final answer
    x = 866.45

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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.