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Finding the Fourth Proportional to 1,114.30, 1,670.64 and 465.49

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Solution

The fourth proportional to 1,114.30, 1,670.64 and 465.49 is: 697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.30 : 1,670.64 = 465.49 : x
  2. Step 2: Convert to fraction form
    1,114.30/1,670.64 = 465.49/x
  3. Step 3: Cross multiply
    1,114.30x = 1,670.64 × 465.49
  4. Step 4: Simplify right side
    1,114.30x = 777,666.21
  5. Step 5: Solve for x
    x = 777,666.21/1,114.30
  6. Step 6: Final answer
    x = 697.90

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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.