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Finding the Fourth Proportional to 1,016.56, 1,402.86 and 602.56

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Solution

The fourth proportional to 1,016.56, 1,402.86 and 602.56 is: 831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.56 : 1,402.86 = 602.56 : x
  2. Step 2: Convert to fraction form
    1,016.56/1,402.86 = 602.56/x
  3. Step 3: Cross multiply
    1,016.56x = 1,402.86 × 602.56
  4. Step 4: Simplify right side
    1,016.56x = 845,307.32
  5. Step 5: Solve for x
    x = 845,307.32/1,016.56
  6. Step 6: Final answer
    x = 831.54

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Why These Related Problems?

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