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Finding the Fourth Proportional to 1,114.83, 1,670.63 and 465.39

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Solution

The fourth proportional to 1,114.83, 1,670.63 and 465.39 is: 697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.83 : 1,670.63 = 465.39 : x
  2. Step 2: Convert to fraction form
    1,114.83/1,670.63 = 465.39/x
  3. Step 3: Cross multiply
    1,114.83x = 1,670.63 × 465.39
  4. Step 4: Simplify right side
    1,114.83x = 777,492.17
  5. Step 5: Solve for x
    x = 777,492.17/1,114.83
  6. Step 6: Final answer
    x = 697.41

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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.