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Finding the Fourth Proportional to 703.68, 1,054.40 and 460.16

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Solution

The fourth proportional to 703.68, 1,054.40 and 460.16 is: 689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.68 : 1,054.40 = 460.16 : x
  2. Step 2: Convert to fraction form
    703.68/1,054.40 = 460.16/x
  3. Step 3: Cross multiply
    703.68x = 1,054.40 × 460.16
  4. Step 4: Simplify right side
    703.68x = 485,192.70
  5. Step 5: Solve for x
    x = 485,192.70/703.68
  6. Step 6: Final answer
    x = 689.51

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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.