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Finding the Fourth Proportional to 1,235.42, 1,703.48 and 1,010.64

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Solution

The fourth proportional to 1,235.42, 1,703.48 and 1,010.64 is: 1,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.42 : 1,703.48 = 1,010.64 : x
  2. Step 2: Convert to fraction form
    1,235.42/1,703.48 = 1,010.64/x
  3. Step 3: Cross multiply
    1,235.42x = 1,703.48 × 1,010.64
  4. Step 4: Simplify right side
    1,235.42x = 1,721,599.97
  5. Step 5: Solve for x
    x = 1,721,599.97/1,235.42
  6. Step 6: Final answer
    x = 1,393.54

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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.