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Finding the Fourth Proportional to 718.22, 1,075.67 and 429.02

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Solution

The fourth proportional to 718.22, 1,075.67 and 429.02 is: 642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.22 : 1,075.67 = 429.02 : x
  2. Step 2: Convert to fraction form
    718.22/1,075.67 = 429.02/x
  3. Step 3: Cross multiply
    718.22x = 1,075.67 × 429.02
  4. Step 4: Simplify right side
    718.22x = 461,483.94
  5. Step 5: Solve for x
    x = 461,483.94/718.22
  6. Step 6: Final answer
    x = 642.54

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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.