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Finding the Fourth Proportional to 703.34, 1,054.58 and 313.33

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Solution

The fourth proportional to 703.34, 1,054.58 and 313.33 is: 469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.34 : 1,054.58 = 313.33 : x
  2. Step 2: Convert to fraction form
    703.34/1,054.58 = 313.33/x
  3. Step 3: Cross multiply
    703.34x = 1,054.58 × 313.33
  4. Step 4: Simplify right side
    703.34x = 330,427.35
  5. Step 5: Solve for x
    x = 330,427.35/703.34
  6. Step 6: Final answer
    x = 469.80

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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.