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Finding the Fourth Proportional to 632.94, 944.51 and 560.04

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Solution

The fourth proportional to 632.94, 944.51 and 560.04 is: 835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.94 : 944.51 = 560.04 : x
  2. Step 2: Convert to fraction form
    632.94/944.51 = 560.04/x
  3. Step 3: Cross multiply
    632.94x = 944.51 × 560.04
  4. Step 4: Simplify right side
    632.94x = 528,960.58
  5. Step 5: Solve for x
    x = 528,960.58/632.94
  6. Step 6: Final answer
    x = 835.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.