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Finding the Fourth Proportional to 703.84, 1,060.52 and 584.77

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Solution

The fourth proportional to 703.84, 1,060.52 and 584.77 is: 881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 1,060.52 = 584.77 : x
  2. Step 2: Convert to fraction form
    703.84/1,060.52 = 584.77/x
  3. Step 3: Cross multiply
    703.84x = 1,060.52 × 584.77
  4. Step 4: Simplify right side
    703.84x = 620,160.28
  5. Step 5: Solve for x
    x = 620,160.28/703.84
  6. Step 6: Final answer
    x = 881.11

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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.