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Finding the Fourth Proportional to 1,156.54, 1,596.02 and 632.57

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Solution

The fourth proportional to 1,156.54, 1,596.02 and 632.57 is: 872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.54 : 1,596.02 = 632.57 : x
  2. Step 2: Convert to fraction form
    1,156.54/1,596.02 = 632.57/x
  3. Step 3: Cross multiply
    1,156.54x = 1,596.02 × 632.57
  4. Step 4: Simplify right side
    1,156.54x = 1,009,589.50
  5. Step 5: Solve for x
    x = 1,009,589.50/1,156.54
  6. Step 6: Final answer
    x = 872.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.