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Finding the Fourth Proportional to 985.53, 1,475.94 and 693.33

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Solution

The fourth proportional to 985.53, 1,475.94 and 693.33 is: 1,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.53 : 1,475.94 = 693.33 : x
  2. Step 2: Convert to fraction form
    985.53/1,475.94 = 693.33/x
  3. Step 3: Cross multiply
    985.53x = 1,475.94 × 693.33
  4. Step 4: Simplify right side
    985.53x = 1,023,313.48
  5. Step 5: Solve for x
    x = 1,023,313.48/985.53
  6. Step 6: Final answer
    x = 1,038.34

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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.