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Finding the Fourth Proportional to 1,030.53, 1,420.97 and 750.27

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Solution

The fourth proportional to 1,030.53, 1,420.97 and 750.27 is: 1,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.53 : 1,420.97 = 750.27 : x
  2. Step 2: Convert to fraction form
    1,030.53/1,420.97 = 750.27/x
  3. Step 3: Cross multiply
    1,030.53x = 1,420.97 × 750.27
  4. Step 4: Simplify right side
    1,030.53x = 1,066,107.41
  5. Step 5: Solve for x
    x = 1,066,107.41/1,030.53
  6. Step 6: Final answer
    x = 1,034.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.