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Finding the Fourth Proportional to 973.86, 1,461.23 and 529.27

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Solution

The fourth proportional to 973.86, 1,461.23 and 529.27 is: 794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.86 : 1,461.23 = 529.27 : x
  2. Step 2: Convert to fraction form
    973.86/1,461.23 = 529.27/x
  3. Step 3: Cross multiply
    973.86x = 1,461.23 × 529.27
  4. Step 4: Simplify right side
    973.86x = 773,385.20
  5. Step 5: Solve for x
    x = 773,385.20/973.86
  6. Step 6: Final answer
    x = 794.14

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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.