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Finding the Fourth Proportional to 1,332.90, 1,999.52 and 455.57

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Solution

The fourth proportional to 1,332.90, 1,999.52 and 455.57 is: 683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.90 : 1,999.52 = 455.57 : x
  2. Step 2: Convert to fraction form
    1,332.90/1,999.52 = 455.57/x
  3. Step 3: Cross multiply
    1,332.90x = 1,999.52 × 455.57
  4. Step 4: Simplify right side
    1,332.90x = 910,927.46
  5. Step 5: Solve for x
    x = 910,927.46/1,332.90
  6. Step 6: Final answer
    x = 683.42

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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.