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Finding the Fourth Proportional to 703.80, 1,054.16 and 456.14

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Solution

The fourth proportional to 703.80, 1,054.16 and 456.14 is: 683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.80 : 1,054.16 = 456.14 : x
  2. Step 2: Convert to fraction form
    703.80/1,054.16 = 456.14/x
  3. Step 3: Cross multiply
    703.80x = 1,054.16 × 456.14
  4. Step 4: Simplify right side
    703.80x = 480,836.99
  5. Step 5: Solve for x
    x = 480,836.99/703.80
  6. Step 6: Final answer
    x = 683.20

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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.