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Finding the Fourth Proportional to 753.16, 1,129.86 and 314.32

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Solution

The fourth proportional to 753.16, 1,129.86 and 314.32 is: 471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.16 : 1,129.86 = 314.32 : x
  2. Step 2: Convert to fraction form
    753.16/1,129.86 = 314.32/x
  3. Step 3: Cross multiply
    753.16x = 1,129.86 × 314.32
  4. Step 4: Simplify right side
    753.16x = 355,137.60
  5. Step 5: Solve for x
    x = 355,137.60/753.16
  6. Step 6: Final answer
    x = 471.53

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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.