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Finding the Fourth Proportional to 1,114.51, 1,671.54 and 421.17

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Solution

The fourth proportional to 1,114.51, 1,671.54 and 421.17 is: 631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.51 : 1,671.54 = 421.17 : x
  2. Step 2: Convert to fraction form
    1,114.51/1,671.54 = 421.17/x
  3. Step 3: Cross multiply
    1,114.51x = 1,671.54 × 421.17
  4. Step 4: Simplify right side
    1,114.51x = 704,002.50
  5. Step 5: Solve for x
    x = 704,002.50/1,114.51
  6. Step 6: Final answer
    x = 631.67

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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.