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Finding the Fourth Proportional to 707.03, 975.80 and 427.30

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Solution

The fourth proportional to 707.03, 975.80 and 427.30 is: 589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.03 : 975.80 = 427.30 : x
  2. Step 2: Convert to fraction form
    707.03/975.80 = 427.30/x
  3. Step 3: Cross multiply
    707.03x = 975.80 × 427.30
  4. Step 4: Simplify right side
    707.03x = 416,957.20
  5. Step 5: Solve for x
    x = 416,957.20/707.03
  6. Step 6: Final answer
    x = 589.73

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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.