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Finding the Fourth Proportional to 1,100.02, 1,649.50 and 407.01

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Solution

The fourth proportional to 1,100.02, 1,649.50 and 407.01 is: 610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.02 : 1,649.50 = 407.01 : x
  2. Step 2: Convert to fraction form
    1,100.02/1,649.50 = 407.01/x
  3. Step 3: Cross multiply
    1,100.02x = 1,649.50 × 407.01
  4. Step 4: Simplify right side
    1,100.02x = 671,363.00
  5. Step 5: Solve for x
    x = 671,363.00/1,100.02
  6. Step 6: Final answer
    x = 610.32

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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.