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Finding the Fourth Proportional to 1,029.41, 1,419.93 and 656.25

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Solution

The fourth proportional to 1,029.41, 1,419.93 and 656.25 is: 905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.41 : 1,419.93 = 656.25 : x
  2. Step 2: Convert to fraction form
    1,029.41/1,419.93 = 656.25/x
  3. Step 3: Cross multiply
    1,029.41x = 1,419.93 × 656.25
  4. Step 4: Simplify right side
    1,029.41x = 931,831.72
  5. Step 5: Solve for x
    x = 931,831.72/1,029.41
  6. Step 6: Final answer
    x = 905.21

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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.