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Finding the Fourth Proportional to 1,059.55, 1,590.23 and 921.95

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Solution

The fourth proportional to 1,059.55, 1,590.23 and 921.95 is: 1,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.55 : 1,590.23 = 921.95 : x
  2. Step 2: Convert to fraction form
    1,059.55/1,590.23 = 921.95/x
  3. Step 3: Cross multiply
    1,059.55x = 1,590.23 × 921.95
  4. Step 4: Simplify right side
    1,059.55x = 1,466,112.87
  5. Step 5: Solve for x
    x = 1,466,112.87/1,059.55
  6. Step 6: Final answer
    x = 1,383.72

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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.