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Finding the Fourth Proportional to 973.30, 1,457.57 and 511.46

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Solution

The fourth proportional to 973.30, 1,457.57 and 511.46 is: 765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.30 : 1,457.57 = 511.46 : x
  2. Step 2: Convert to fraction form
    973.30/1,457.57 = 511.46/x
  3. Step 3: Cross multiply
    973.30x = 1,457.57 × 511.46
  4. Step 4: Simplify right side
    973.30x = 745,493.67
  5. Step 5: Solve for x
    x = 745,493.67/973.30
  6. Step 6: Final answer
    x = 765.95

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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.