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Finding the Fourth Proportional to 912.30, 1,370.07 and 604.50

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Solution

The fourth proportional to 912.30, 1,370.07 and 604.50 is: 907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.30 : 1,370.07 = 604.50 : x
  2. Step 2: Convert to fraction form
    912.30/1,370.07 = 604.50/x
  3. Step 3: Cross multiply
    912.30x = 1,370.07 × 604.50
  4. Step 4: Simplify right side
    912.30x = 828,207.32
  5. Step 5: Solve for x
    x = 828,207.32/912.30
  6. Step 6: Final answer
    x = 907.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.