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Finding the Fourth Proportional to 860.46, 1,187.54 and 511.15

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Solution

The fourth proportional to 860.46, 1,187.54 and 511.15 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.46 : 1,187.54 = 511.15 : x
  2. Step 2: Convert to fraction form
    860.46/1,187.54 = 511.15/x
  3. Step 3: Cross multiply
    860.46x = 1,187.54 × 511.15
  4. Step 4: Simplify right side
    860.46x = 607,007.86
  5. Step 5: Solve for x
    x = 607,007.86/860.46
  6. Step 6: Final answer
    x = 705.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.