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Finding the Fourth Proportional to 918.94, 1,267.93 and 546.05

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Solution

The fourth proportional to 918.94, 1,267.93 and 546.05 is: 753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.94 : 1,267.93 = 546.05 : x
  2. Step 2: Convert to fraction form
    918.94/1,267.93 = 546.05/x
  3. Step 3: Cross multiply
    918.94x = 1,267.93 × 546.05
  4. Step 4: Simplify right side
    918.94x = 692,353.18
  5. Step 5: Solve for x
    x = 692,353.18/918.94
  6. Step 6: Final answer
    x = 753.43

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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.