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Finding the Fourth Proportional to 1,475.96, 2,214.54 and 826.67

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Solution

The fourth proportional to 1,475.96, 2,214.54 and 826.67 is: 1,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.96 : 2,214.54 = 826.67 : x
  2. Step 2: Convert to fraction form
    1,475.96/2,214.54 = 826.67/x
  3. Step 3: Cross multiply
    1,475.96x = 2,214.54 × 826.67
  4. Step 4: Simplify right side
    1,475.96x = 1,830,699.32
  5. Step 5: Solve for x
    x = 1,830,699.32/1,475.96
  6. Step 6: Final answer
    x = 1,240.35

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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.