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Finding the Fourth Proportional to 1,068.34, 1,603.95 and 875.38

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Solution

The fourth proportional to 1,068.34, 1,603.95 and 875.38 is: 1,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.34 : 1,603.95 = 875.38 : x
  2. Step 2: Convert to fraction form
    1,068.34/1,603.95 = 875.38/x
  3. Step 3: Cross multiply
    1,068.34x = 1,603.95 × 875.38
  4. Step 4: Simplify right side
    1,068.34x = 1,404,065.75
  5. Step 5: Solve for x
    x = 1,404,065.75/1,068.34
  6. Step 6: Final answer
    x = 1,314.25

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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.