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Finding the Fourth Proportional to 683.02, 1,030.95 and 683.02

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Solution

The fourth proportional to 683.02, 1,030.95 and 683.02 is: 1,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.02 : 1,030.95 = 683.02 : x
  2. Step 2: Convert to fraction form
    683.02/1,030.95 = 683.02/x
  3. Step 3: Cross multiply
    683.02x = 1,030.95 × 683.02
  4. Step 4: Simplify right side
    683.02x = 704,159.47
  5. Step 5: Solve for x
    x = 704,159.47/683.02
  6. Step 6: Final answer
    x = 1,030.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.