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Finding the Fourth Proportional to 1,323.55, 1,985.32 and 399.07

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Solution

The fourth proportional to 1,323.55, 1,985.32 and 399.07 is: 598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.55 : 1,985.32 = 399.07 : x
  2. Step 2: Convert to fraction form
    1,323.55/1,985.32 = 399.07/x
  3. Step 3: Cross multiply
    1,323.55x = 1,985.32 × 399.07
  4. Step 4: Simplify right side
    1,323.55x = 792,271.73
  5. Step 5: Solve for x
    x = 792,271.73/1,323.55
  6. Step 6: Final answer
    x = 598.60

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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.