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Finding the Fourth Proportional to 701.76, 1,053.36 and 460.02

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Solution

The fourth proportional to 701.76, 1,053.36 and 460.02 is: 690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.76 : 1,053.36 = 460.02 : x
  2. Step 2: Convert to fraction form
    701.76/1,053.36 = 460.02/x
  3. Step 3: Cross multiply
    701.76x = 1,053.36 × 460.02
  4. Step 4: Simplify right side
    701.76x = 484,566.67
  5. Step 5: Solve for x
    x = 484,566.67/701.76
  6. Step 6: Final answer
    x = 690.50

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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.