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Finding the Fourth Proportional to 703.53, 1,060.06 and 584.46

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Solution

The fourth proportional to 703.53, 1,060.06 and 584.46 is: 880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.53 : 1,060.06 = 584.46 : x
  2. Step 2: Convert to fraction form
    703.53/1,060.06 = 584.46/x
  3. Step 3: Cross multiply
    703.53x = 1,060.06 × 584.46
  4. Step 4: Simplify right side
    703.53x = 619,561.21
  5. Step 5: Solve for x
    x = 619,561.21/703.53
  6. Step 6: Final answer
    x = 880.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.