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Finding the Fourth Proportional to 1,047.90, 1,446.21 and 716.07

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Solution

The fourth proportional to 1,047.90, 1,446.21 and 716.07 is: 988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.90 : 1,446.21 = 716.07 : x
  2. Step 2: Convert to fraction form
    1,047.90/1,446.21 = 716.07/x
  3. Step 3: Cross multiply
    1,047.90x = 1,446.21 × 716.07
  4. Step 4: Simplify right side
    1,047.90x = 1,035,587.59
  5. Step 5: Solve for x
    x = 1,035,587.59/1,047.90
  6. Step 6: Final answer
    x = 988.25

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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.