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Finding the Fourth Proportional to 930.12, 1,393.74 and 497.16

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Solution

The fourth proportional to 930.12, 1,393.74 and 497.16 is: 744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.12 : 1,393.74 = 497.16 : x
  2. Step 2: Convert to fraction form
    930.12/1,393.74 = 497.16/x
  3. Step 3: Cross multiply
    930.12x = 1,393.74 × 497.16
  4. Step 4: Simplify right side
    930.12x = 692,911.78
  5. Step 5: Solve for x
    x = 692,911.78/930.12
  6. Step 6: Final answer
    x = 744.97

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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.