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Finding the Fourth Proportional to 706.90, 975.59 and 412.09

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Solution

The fourth proportional to 706.90, 975.59 and 412.09 is: 568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.90 : 975.59 = 412.09 : x
  2. Step 2: Convert to fraction form
    706.90/975.59 = 412.09/x
  3. Step 3: Cross multiply
    706.90x = 975.59 × 412.09
  4. Step 4: Simplify right side
    706.90x = 402,030.88
  5. Step 5: Solve for x
    x = 402,030.88/706.90
  6. Step 6: Final answer
    x = 568.72

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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.