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Finding the Fourth Proportional to 715.86, 1,075.20 and 442.47

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Solution

The fourth proportional to 715.86, 1,075.20 and 442.47 is: 664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.86 : 1,075.20 = 442.47 : x
  2. Step 2: Convert to fraction form
    715.86/1,075.20 = 442.47/x
  3. Step 3: Cross multiply
    715.86x = 1,075.20 × 442.47
  4. Step 4: Simplify right side
    715.86x = 475,743.74
  5. Step 5: Solve for x
    x = 475,743.74/715.86
  6. Step 6: Final answer
    x = 664.58

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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.