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Finding the Fourth Proportional to 975.65, 1,461.04 and 609.32

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Solution

The fourth proportional to 975.65, 1,461.04 and 609.32 is: 912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.65 : 1,461.04 = 609.32 : x
  2. Step 2: Convert to fraction form
    975.65/1,461.04 = 609.32/x
  3. Step 3: Cross multiply
    975.65x = 1,461.04 × 609.32
  4. Step 4: Simplify right side
    975.65x = 890,243.02
  5. Step 5: Solve for x
    x = 890,243.02/975.65
  6. Step 6: Final answer
    x = 912.47

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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.