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Finding the Fourth Proportional to 717.82, 1,075.32 and 473.62

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Solution

The fourth proportional to 717.82, 1,075.32 and 473.62 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.82 : 1,075.32 = 473.62 : x
  2. Step 2: Convert to fraction form
    717.82/1,075.32 = 473.62/x
  3. Step 3: Cross multiply
    717.82x = 1,075.32 × 473.62
  4. Step 4: Simplify right side
    717.82x = 509,293.06
  5. Step 5: Solve for x
    x = 509,293.06/717.82
  6. Step 6: Final answer
    x = 709.50

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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.