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Finding the Fourth Proportional to 1,114.34, 1,670.95 and 420.98

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Solution

The fourth proportional to 1,114.34, 1,670.95 and 420.98 is: 631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.34 : 1,670.95 = 420.98 : x
  2. Step 2: Convert to fraction form
    1,114.34/1,670.95 = 420.98/x
  3. Step 3: Cross multiply
    1,114.34x = 1,670.95 × 420.98
  4. Step 4: Simplify right side
    1,114.34x = 703,436.53
  5. Step 5: Solve for x
    x = 703,436.53/1,114.34
  6. Step 6: Final answer
    x = 631.26

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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.