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Finding the Fourth Proportional to 897.94, 1,345.83 and 377.74

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Solution

The fourth proportional to 897.94, 1,345.83 and 377.74 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.94 : 1,345.83 = 377.74 : x
  2. Step 2: Convert to fraction form
    897.94/1,345.83 = 377.74/x
  3. Step 3: Cross multiply
    897.94x = 1,345.83 × 377.74
  4. Step 4: Simplify right side
    897.94x = 508,373.82
  5. Step 5: Solve for x
    x = 508,373.82/897.94
  6. Step 6: Final answer
    x = 566.16

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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.