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Finding the Fourth Proportional to 860.52, 1,285.84 and 584.30

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Solution

The fourth proportional to 860.52, 1,285.84 and 584.30 is: 873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.52 : 1,285.84 = 584.30 : x
  2. Step 2: Convert to fraction form
    860.52/1,285.84 = 584.30/x
  3. Step 3: Cross multiply
    860.52x = 1,285.84 × 584.30
  4. Step 4: Simplify right side
    860.52x = 751,316.31
  5. Step 5: Solve for x
    x = 751,316.31/860.52
  6. Step 6: Final answer
    x = 873.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.