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Finding the Fourth Proportional to 1,030.70, 1,546.05 and 848.30

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Solution

The fourth proportional to 1,030.70, 1,546.05 and 848.30 is: 1,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.70 : 1,546.05 = 848.30 : x
  2. Step 2: Convert to fraction form
    1,030.70/1,546.05 = 848.30/x
  3. Step 3: Cross multiply
    1,030.70x = 1,546.05 × 848.30
  4. Step 4: Simplify right side
    1,030.70x = 1,311,514.22
  5. Step 5: Solve for x
    x = 1,311,514.22/1,030.70
  6. Step 6: Final answer
    x = 1,272.45

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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.