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Finding the Fourth Proportional to 955.10, 1,433.10 and 712.10

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Solution

The fourth proportional to 955.10, 1,433.10 and 712.10 is: 1,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.10 : 1,433.10 = 712.10 : x
  2. Step 2: Convert to fraction form
    955.10/1,433.10 = 712.10/x
  3. Step 3: Cross multiply
    955.10x = 1,433.10 × 712.10
  4. Step 4: Simplify right side
    955.10x = 1,020,510.51
  5. Step 5: Solve for x
    x = 1,020,510.51/955.10
  6. Step 6: Final answer
    x = 1,068.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.