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Finding the Fourth Proportional to 1,603.34, 2,404.52 and 678.87

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Solution

The fourth proportional to 1,603.34, 2,404.52 and 678.87 is: 1,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.34 : 2,404.52 = 678.87 : x
  2. Step 2: Convert to fraction form
    1,603.34/2,404.52 = 678.87/x
  3. Step 3: Cross multiply
    1,603.34x = 2,404.52 × 678.87
  4. Step 4: Simplify right side
    1,603.34x = 1,632,356.49
  5. Step 5: Solve for x
    x = 1,632,356.49/1,603.34
  6. Step 6: Final answer
    x = 1,018.10

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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.