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Finding the Fourth Proportional to 945.60, 1,303.58 and 735.41

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Solution

The fourth proportional to 945.60, 1,303.58 and 735.41 is: 1,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,303.58 = 735.41 : x
  2. Step 2: Convert to fraction form
    945.60/1,303.58 = 735.41/x
  3. Step 3: Cross multiply
    945.60x = 1,303.58 × 735.41
  4. Step 4: Simplify right side
    945.60x = 958,659.25
  5. Step 5: Solve for x
    x = 958,659.25/945.60
  6. Step 6: Final answer
    x = 1,013.81

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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.