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Finding the Fourth Proportional to 1,004.02, 1,503.95 and 534.98

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Solution

The fourth proportional to 1,004.02, 1,503.95 and 534.98 is: 801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.02 : 1,503.95 = 534.98 : x
  2. Step 2: Convert to fraction form
    1,004.02/1,503.95 = 534.98/x
  3. Step 3: Cross multiply
    1,004.02x = 1,503.95 × 534.98
  4. Step 4: Simplify right side
    1,004.02x = 804,583.17
  5. Step 5: Solve for x
    x = 804,583.17/1,004.02
  6. Step 6: Final answer
    x = 801.36

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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.