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Finding the Fourth Proportional to 797.04, 1,099.04 and 501.93

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Solution

The fourth proportional to 797.04, 1,099.04 and 501.93 is: 692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.04 : 1,099.04 = 501.93 : x
  2. Step 2: Convert to fraction form
    797.04/1,099.04 = 501.93/x
  3. Step 3: Cross multiply
    797.04x = 1,099.04 × 501.93
  4. Step 4: Simplify right side
    797.04x = 551,638.64
  5. Step 5: Solve for x
    x = 551,638.64/797.04
  6. Step 6: Final answer
    x = 692.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.