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Finding the Fourth Proportional to 1,030.04, 1,544.31 and 682.94

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Solution

The fourth proportional to 1,030.04, 1,544.31 and 682.94 is: 1,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.04 : 1,544.31 = 682.94 : x
  2. Step 2: Convert to fraction form
    1,030.04/1,544.31 = 682.94/x
  3. Step 3: Cross multiply
    1,030.04x = 1,544.31 × 682.94
  4. Step 4: Simplify right side
    1,030.04x = 1,054,671.07
  5. Step 5: Solve for x
    x = 1,054,671.07/1,030.04
  6. Step 6: Final answer
    x = 1,023.91

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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.