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Finding the Fourth Proportional to 1,392.54, 2,088.95 and 468.11

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Solution

The fourth proportional to 1,392.54, 2,088.95 and 468.11 is: 702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.54 : 2,088.95 = 468.11 : x
  2. Step 2: Convert to fraction form
    1,392.54/2,088.95 = 468.11/x
  3. Step 3: Cross multiply
    1,392.54x = 2,088.95 × 468.11
  4. Step 4: Simplify right side
    1,392.54x = 977,858.38
  5. Step 5: Solve for x
    x = 977,858.38/1,392.54
  6. Step 6: Final answer
    x = 702.21

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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.