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Finding the Fourth Proportional to 975.03, 1,460.54 and 511.40

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Solution

The fourth proportional to 975.03, 1,460.54 and 511.40 is: 766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.03 : 1,460.54 = 511.40 : x
  2. Step 2: Convert to fraction form
    975.03/1,460.54 = 511.40/x
  3. Step 3: Cross multiply
    975.03x = 1,460.54 × 511.40
  4. Step 4: Simplify right side
    975.03x = 746,910.30
  5. Step 5: Solve for x
    x = 746,910.30/975.03
  6. Step 6: Final answer
    x = 766.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.