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Finding the Fourth Proportional to 703.76, 1,054.08 and 566.46

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Solution

The fourth proportional to 703.76, 1,054.08 and 566.46 is: 848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.76 : 1,054.08 = 566.46 : x
  2. Step 2: Convert to fraction form
    703.76/1,054.08 = 566.46/x
  3. Step 3: Cross multiply
    703.76x = 1,054.08 × 566.46
  4. Step 4: Simplify right side
    703.76x = 597,094.16
  5. Step 5: Solve for x
    x = 597,094.16/703.76
  6. Step 6: Final answer
    x = 848.43

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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.