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Finding the Fourth Proportional to 716.58, 1,075.68 and 596.22

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Solution

The fourth proportional to 716.58, 1,075.68 and 596.22 is: 895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.58 : 1,075.68 = 596.22 : x
  2. Step 2: Convert to fraction form
    716.58/1,075.68 = 596.22/x
  3. Step 3: Cross multiply
    716.58x = 1,075.68 × 596.22
  4. Step 4: Simplify right side
    716.58x = 641,341.93
  5. Step 5: Solve for x
    x = 641,341.93/716.58
  6. Step 6: Final answer
    x = 895.00

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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.