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Finding the Fourth Proportional to 707.37, 975.75 and 588.75

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Solution

The fourth proportional to 707.37, 975.75 and 588.75 is: 812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.37 : 975.75 = 588.75 : x
  2. Step 2: Convert to fraction form
    707.37/975.75 = 588.75/x
  3. Step 3: Cross multiply
    707.37x = 975.75 × 588.75
  4. Step 4: Simplify right side
    707.37x = 574,472.43
  5. Step 5: Solve for x
    x = 574,472.43/707.37
  6. Step 6: Final answer
    x = 812.13

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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.