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Finding the Fourth Proportional to 717.14, 1,074.95 and 456.32

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Solution

The fourth proportional to 717.14, 1,074.95 and 456.32 is: 684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.14 : 1,074.95 = 456.32 : x
  2. Step 2: Convert to fraction form
    717.14/1,074.95 = 456.32/x
  3. Step 3: Cross multiply
    717.14x = 1,074.95 × 456.32
  4. Step 4: Simplify right side
    717.14x = 490,521.18
  5. Step 5: Solve for x
    x = 490,521.18/717.14
  6. Step 6: Final answer
    x = 684.00

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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.