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Finding the Fourth Proportional to 1,328.55, 1,992.13 and 597.50

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Solution

The fourth proportional to 1,328.55, 1,992.13 and 597.50 is: 895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.55 : 1,992.13 = 597.50 : x
  2. Step 2: Convert to fraction form
    1,328.55/1,992.13 = 597.50/x
  3. Step 3: Cross multiply
    1,328.55x = 1,992.13 × 597.50
  4. Step 4: Simplify right side
    1,328.55x = 1,190,284.73
  5. Step 5: Solve for x
    x = 1,190,284.73/1,328.55
  6. Step 6: Final answer
    x = 895.93

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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.