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Finding the Fourth Proportional to 860.49, 1,185.84 and 598.05

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Solution

The fourth proportional to 860.49, 1,185.84 and 598.05 is: 824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.49 : 1,185.84 = 598.05 : x
  2. Step 2: Convert to fraction form
    860.49/1,185.84 = 598.05/x
  3. Step 3: Cross multiply
    860.49x = 1,185.84 × 598.05
  4. Step 4: Simplify right side
    860.49x = 709,191.61
  5. Step 5: Solve for x
    x = 709,191.61/860.49
  6. Step 6: Final answer
    x = 824.17

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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.