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Finding the Fourth Proportional to 1,030.85, 1,422.57 and 558.76

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Solution

The fourth proportional to 1,030.85, 1,422.57 and 558.76 is: 771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.85 : 1,422.57 = 558.76 : x
  2. Step 2: Convert to fraction form
    1,030.85/1,422.57 = 558.76/x
  3. Step 3: Cross multiply
    1,030.85x = 1,422.57 × 558.76
  4. Step 4: Simplify right side
    1,030.85x = 794,866.89
  5. Step 5: Solve for x
    x = 794,866.89/1,030.85
  6. Step 6: Final answer
    x = 771.08

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