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Finding the Fourth Proportional to 718.06, 1,075.02 and 409.18

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Solution

The fourth proportional to 718.06, 1,075.02 and 409.18 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.06 : 1,075.02 = 409.18 : x
  2. Step 2: Convert to fraction form
    718.06/1,075.02 = 409.18/x
  3. Step 3: Cross multiply
    718.06x = 1,075.02 × 409.18
  4. Step 4: Simplify right side
    718.06x = 439,876.68
  5. Step 5: Solve for x
    x = 439,876.68/718.06
  6. Step 6: Final answer
    x = 612.59

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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.