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Finding the Fourth Proportional to 716.70, 1,075.15 and 351.51

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Solution

The fourth proportional to 716.70, 1,075.15 and 351.51 is: 527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.70 : 1,075.15 = 351.51 : x
  2. Step 2: Convert to fraction form
    716.70/1,075.15 = 351.51/x
  3. Step 3: Cross multiply
    716.70x = 1,075.15 × 351.51
  4. Step 4: Simplify right side
    716.70x = 377,925.98
  5. Step 5: Solve for x
    x = 377,925.98/716.70
  6. Step 6: Final answer
    x = 527.31

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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.