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Finding the Fourth Proportional to 846.53, 1,166.09 and 706.60

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Solution

The fourth proportional to 846.53, 1,166.09 and 706.60 is: 973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.53 : 1,166.09 = 706.60 : x
  2. Step 2: Convert to fraction form
    846.53/1,166.09 = 706.60/x
  3. Step 3: Cross multiply
    846.53x = 1,166.09 × 706.60
  4. Step 4: Simplify right side
    846.53x = 823,959.19
  5. Step 5: Solve for x
    x = 823,959.19/846.53
  6. Step 6: Final answer
    x = 973.34

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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.