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Finding the Fourth Proportional to 903.15, 1,245.51 and 706.32

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Solution

The fourth proportional to 903.15, 1,245.51 and 706.32 is: 974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.15 : 1,245.51 = 706.32 : x
  2. Step 2: Convert to fraction form
    903.15/1,245.51 = 706.32/x
  3. Step 3: Cross multiply
    903.15x = 1,245.51 × 706.32
  4. Step 4: Simplify right side
    903.15x = 879,728.62
  5. Step 5: Solve for x
    x = 879,728.62/903.15
  6. Step 6: Final answer
    x = 974.07

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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.