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Finding the Fourth Proportional to 707.57, 975.76 and 549.92

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Solution

The fourth proportional to 707.57, 975.76 and 549.92 is: 758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.57 : 975.76 = 549.92 : x
  2. Step 2: Convert to fraction form
    707.57/975.76 = 549.92/x
  3. Step 3: Cross multiply
    707.57x = 975.76 × 549.92
  4. Step 4: Simplify right side
    707.57x = 536,591.00
  5. Step 5: Solve for x
    x = 536,591.00/707.57
  6. Step 6: Final answer
    x = 758.36

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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.