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Finding the Fourth Proportional to 1,156.59, 1,596.04 and 632.61

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Solution

The fourth proportional to 1,156.59, 1,596.04 and 632.61 is: 872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.59 : 1,596.04 = 632.61 : x
  2. Step 2: Convert to fraction form
    1,156.59/1,596.04 = 632.61/x
  3. Step 3: Cross multiply
    1,156.59x = 1,596.04 × 632.61
  4. Step 4: Simplify right side
    1,156.59x = 1,009,670.86
  5. Step 5: Solve for x
    x = 1,009,670.86/1,156.59
  6. Step 6: Final answer
    x = 872.97

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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.