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Finding the Fourth Proportional to 703.50, 1,053.90 and 548.70

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Solution

The fourth proportional to 703.50, 1,053.90 and 548.70 is: 822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.50 : 1,053.90 = 548.70 : x
  2. Step 2: Convert to fraction form
    703.50/1,053.90 = 548.70/x
  3. Step 3: Cross multiply
    703.50x = 1,053.90 × 548.70
  4. Step 4: Simplify right side
    703.50x = 578,274.93
  5. Step 5: Solve for x
    x = 578,274.93/703.50
  6. Step 6: Final answer
    x = 822.00

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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.