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Finding the Fourth Proportional to 840.04, 1,259.70 and 292.06

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Solution

The fourth proportional to 840.04, 1,259.70 and 292.06 is: 437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.04 : 1,259.70 = 292.06 : x
  2. Step 2: Convert to fraction form
    840.04/1,259.70 = 292.06/x
  3. Step 3: Cross multiply
    840.04x = 1,259.70 × 292.06
  4. Step 4: Simplify right side
    840.04x = 367,907.98
  5. Step 5: Solve for x
    x = 367,907.98/840.04
  6. Step 6: Final answer
    x = 437.96

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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.