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Finding the Fourth Proportional to 945.16, 1,303.86 and 758.89

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Solution

The fourth proportional to 945.16, 1,303.86 and 758.89 is: 1,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.16 : 1,303.86 = 758.89 : x
  2. Step 2: Convert to fraction form
    945.16/1,303.86 = 758.89/x
  3. Step 3: Cross multiply
    945.16x = 1,303.86 × 758.89
  4. Step 4: Simplify right side
    945.16x = 989,486.32
  5. Step 5: Solve for x
    x = 989,486.32/945.16
  6. Step 6: Final answer
    x = 1,046.90

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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.