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Finding the Fourth Proportional to 940.16, 1,409.76 and 632

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Solution

The fourth proportional to 940.16, 1,409.76 and 632 is: 947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.16 : 1,409.76 = 632 : x
  2. Step 2: Convert to fraction form
    940.16/1,409.76 = 632/x
  3. Step 3: Cross multiply
    940.16x = 1,409.76 × 632
  4. Step 4: Simplify right side
    940.16x = 890,968.32
  5. Step 5: Solve for x
    x = 890,968.32/940.16
  6. Step 6: Final answer
    x = 947.68

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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.