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Finding the Fourth Proportional to 1,030.10, 1,546.35 and 619.70

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Solution

The fourth proportional to 1,030.10, 1,546.35 and 619.70 is: 930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.10 : 1,546.35 = 619.70 : x
  2. Step 2: Convert to fraction form
    1,030.10/1,546.35 = 619.70/x
  3. Step 3: Cross multiply
    1,030.10x = 1,546.35 × 619.70
  4. Step 4: Simplify right side
    1,030.10x = 958,273.10
  5. Step 5: Solve for x
    x = 958,273.10/1,030.10
  6. Step 6: Final answer
    x = 930.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.