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Finding the Fourth Proportional to 860.63, 1,187.66 and 598.79

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Solution

The fourth proportional to 860.63, 1,187.66 and 598.79 is: 826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.63 : 1,187.66 = 598.79 : x
  2. Step 2: Convert to fraction form
    860.63/1,187.66 = 598.79/x
  3. Step 3: Cross multiply
    860.63x = 1,187.66 × 598.79
  4. Step 4: Simplify right side
    860.63x = 711,158.93
  5. Step 5: Solve for x
    x = 711,158.93/860.63
  6. Step 6: Final answer
    x = 826.32

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Double scale
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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.