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Finding the Fourth Proportional to 706.92, 975.62 and 412.52

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Solution

The fourth proportional to 706.92, 975.62 and 412.52 is: 569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 975.62 = 412.52 : x
  2. Step 2: Convert to fraction form
    706.92/975.62 = 412.52/x
  3. Step 3: Cross multiply
    706.92x = 975.62 × 412.52
  4. Step 4: Simplify right side
    706.92x = 402,462.76
  5. Step 5: Solve for x
    x = 402,462.76/706.92
  6. Step 6: Final answer
    x = 569.32

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Double scale
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Similar ratio
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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.