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Finding the Fourth Proportional to 973.30, 1,460.20 and 510.95

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Solution

The fourth proportional to 973.30, 1,460.20 and 510.95 is: 766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.30 : 1,460.20 = 510.95 : x
  2. Step 2: Convert to fraction form
    973.30/1,460.20 = 510.95/x
  3. Step 3: Cross multiply
    973.30x = 1,460.20 × 510.95
  4. Step 4: Simplify right side
    973.30x = 746,089.19
  5. Step 5: Solve for x
    x = 746,089.19/973.30
  6. Step 6: Final answer
    x = 766.56

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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.