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Finding the Fourth Proportional to 942.32, 1,409.82 and 632.70

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Solution

The fourth proportional to 942.32, 1,409.82 and 632.70 is: 946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.32 : 1,409.82 = 632.70 : x
  2. Step 2: Convert to fraction form
    942.32/1,409.82 = 632.70/x
  3. Step 3: Cross multiply
    942.32x = 1,409.82 × 632.70
  4. Step 4: Simplify right side
    942.32x = 891,993.11
  5. Step 5: Solve for x
    x = 891,993.11/942.32
  6. Step 6: Final answer
    x = 946.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.