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Finding the Fourth Proportional to 1,030.89, 1,421.64 and 782.22

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Solution

The fourth proportional to 1,030.89, 1,421.64 and 782.22 is: 1,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.89 : 1,421.64 = 782.22 : x
  2. Step 2: Convert to fraction form
    1,030.89/1,421.64 = 782.22/x
  3. Step 3: Cross multiply
    1,030.89x = 1,421.64 × 782.22
  4. Step 4: Simplify right side
    1,030.89x = 1,112,035.24
  5. Step 5: Solve for x
    x = 1,112,035.24/1,030.89
  6. Step 6: Final answer
    x = 1,078.71

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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.