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Finding the Fourth Proportional to 942.34, 1,412.99 and 646.19

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Solution

The fourth proportional to 942.34, 1,412.99 and 646.19 is: 968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.34 : 1,412.99 = 646.19 : x
  2. Step 2: Convert to fraction form
    942.34/1,412.99 = 646.19/x
  3. Step 3: Cross multiply
    942.34x = 1,412.99 × 646.19
  4. Step 4: Simplify right side
    942.34x = 913,060.01
  5. Step 5: Solve for x
    x = 913,060.01/942.34
  6. Step 6: Final answer
    x = 968.93

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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.