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Finding the Fourth Proportional to 942.22, 1,300.42 and 647.25

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Solution

The fourth proportional to 942.22, 1,300.42 and 647.25 is: 893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.22 : 1,300.42 = 647.25 : x
  2. Step 2: Convert to fraction form
    942.22/1,300.42 = 647.25/x
  3. Step 3: Cross multiply
    942.22x = 1,300.42 × 647.25
  4. Step 4: Simplify right side
    942.22x = 841,690.34
  5. Step 5: Solve for x
    x = 841,690.34/942.22
  6. Step 6: Final answer
    x = 893.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.