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Finding the Fourth Proportional to 1,219.70, 1,830.30 and 526.70

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Solution

The fourth proportional to 1,219.70, 1,830.30 and 526.70 is: 790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.70 : 1,830.30 = 526.70 : x
  2. Step 2: Convert to fraction form
    1,219.70/1,830.30 = 526.70/x
  3. Step 3: Cross multiply
    1,219.70x = 1,830.30 × 526.70
  4. Step 4: Simplify right side
    1,219.70x = 964,019.01
  5. Step 5: Solve for x
    x = 964,019.01/1,219.70
  6. Step 6: Final answer
    x = 790.37

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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.