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Finding the Fourth Proportional to 1,156.94, 1,596.57 and 632.97

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Solution

The fourth proportional to 1,156.94, 1,596.57 and 632.97 is: 873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.94 : 1,596.57 = 632.97 : x
  2. Step 2: Convert to fraction form
    1,156.94/1,596.57 = 632.97/x
  3. Step 3: Cross multiply
    1,156.94x = 1,596.57 × 632.97
  4. Step 4: Simplify right side
    1,156.94x = 1,010,580.91
  5. Step 5: Solve for x
    x = 1,010,580.91/1,156.94
  6. Step 6: Final answer
    x = 873.49

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1.5x scale

Why These Related Problems?

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