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Finding the Fourth Proportional to 713.64, 984.75 and 434.03

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Solution

The fourth proportional to 713.64, 984.75 and 434.03 is: 598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.64 : 984.75 = 434.03 : x
  2. Step 2: Convert to fraction form
    713.64/984.75 = 434.03/x
  3. Step 3: Cross multiply
    713.64x = 984.75 × 434.03
  4. Step 4: Simplify right side
    713.64x = 427,409.81
  5. Step 5: Solve for x
    x = 427,409.81/713.64
  6. Step 6: Final answer
    x = 598.91

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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.