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Finding the Fourth Proportional to 897.92, 1,345.25 and 376.99

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Solution

The fourth proportional to 897.92, 1,345.25 and 376.99 is: 564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.92 : 1,345.25 = 376.99 : x
  2. Step 2: Convert to fraction form
    897.92/1,345.25 = 376.99/x
  3. Step 3: Cross multiply
    897.92x = 1,345.25 × 376.99
  4. Step 4: Simplify right side
    897.92x = 507,140.57
  5. Step 5: Solve for x
    x = 507,140.57/897.92
  6. Step 6: Final answer
    x = 564.80

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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.