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Finding the Fourth Proportional to 718.56, 1,075.32 and 535.50

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Solution

The fourth proportional to 718.56, 1,075.32 and 535.50 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.56 : 1,075.32 = 535.50 : x
  2. Step 2: Convert to fraction form
    718.56/1,075.32 = 535.50/x
  3. Step 3: Cross multiply
    718.56x = 1,075.32 × 535.50
  4. Step 4: Simplify right side
    718.56x = 575,833.86
  5. Step 5: Solve for x
    x = 575,833.86/718.56
  6. Step 6: Final answer
    x = 801.37

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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.