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Finding the Fourth Proportional to 973.63, 1,461.05 and 396.50

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Solution

The fourth proportional to 973.63, 1,461.05 and 396.50 is: 595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.63 : 1,461.05 = 396.50 : x
  2. Step 2: Convert to fraction form
    973.63/1,461.05 = 396.50/x
  3. Step 3: Cross multiply
    973.63x = 1,461.05 × 396.50
  4. Step 4: Simplify right side
    973.63x = 579,306.33
  5. Step 5: Solve for x
    x = 579,306.33/973.63
  6. Step 6: Final answer
    x = 595.00

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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.