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Finding the Fourth Proportional to 703.04, 1,053.44 and 291.84

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Solution

The fourth proportional to 703.04, 1,053.44 and 291.84 is: 437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.04 : 1,053.44 = 291.84 : x
  2. Step 2: Convert to fraction form
    703.04/1,053.44 = 291.84/x
  3. Step 3: Cross multiply
    703.04x = 1,053.44 × 291.84
  4. Step 4: Simplify right side
    703.04x = 307,435.93
  5. Step 5: Solve for x
    x = 307,435.93/703.04
  6. Step 6: Final answer
    x = 437.30

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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.