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Finding the Fourth Proportional to 716.90, 1,075.34 and 588.38

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Solution

The fourth proportional to 716.90, 1,075.34 and 588.38 is: 882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.90 : 1,075.34 = 588.38 : x
  2. Step 2: Convert to fraction form
    716.90/1,075.34 = 588.38/x
  3. Step 3: Cross multiply
    716.90x = 1,075.34 × 588.38
  4. Step 4: Simplify right side
    716.90x = 632,704.64
  5. Step 5: Solve for x
    x = 632,704.64/716.90
  6. Step 6: Final answer
    x = 882.56

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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.