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Finding the Fourth Proportional to 942.04, 1,405.38 and 917.87

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Solution

The fourth proportional to 942.04, 1,405.38 and 917.87 is: 1,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.04 : 1,405.38 = 917.87 : x
  2. Step 2: Convert to fraction form
    942.04/1,405.38 = 917.87/x
  3. Step 3: Cross multiply
    942.04x = 1,405.38 × 917.87
  4. Step 4: Simplify right side
    942.04x = 1,289,956.14
  5. Step 5: Solve for x
    x = 1,289,956.14/942.04
  6. Step 6: Final answer
    x = 1,369.32

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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.