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Finding the Fourth Proportional to 933.83, 1,398.03 and 703.69

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Solution

The fourth proportional to 933.83, 1,398.03 and 703.69 is: 1,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.83 : 1,398.03 = 703.69 : x
  2. Step 2: Convert to fraction form
    933.83/1,398.03 = 703.69/x
  3. Step 3: Cross multiply
    933.83x = 1,398.03 × 703.69
  4. Step 4: Simplify right side
    933.83x = 983,779.73
  5. Step 5: Solve for x
    x = 983,779.73/933.83
  6. Step 6: Final answer
    x = 1,053.49

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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.