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Finding the Fourth Proportional to 894.95, 1,342.80 and 375.08

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Solution

The fourth proportional to 894.95, 1,342.80 and 375.08 is: 562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.95 : 1,342.80 = 375.08 : x
  2. Step 2: Convert to fraction form
    894.95/1,342.80 = 375.08/x
  3. Step 3: Cross multiply
    894.95x = 1,342.80 × 375.08
  4. Step 4: Simplify right side
    894.95x = 503,650.71
  5. Step 5: Solve for x
    x = 503,650.71/894.95
  6. Step 6: Final answer
    x = 562.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.