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Finding the Fourth Proportional to 1,392.16, 2,088.69 and 468.14

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Solution

The fourth proportional to 1,392.16, 2,088.69 and 468.14 is: 702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.16 : 2,088.69 = 468.14 : x
  2. Step 2: Convert to fraction form
    1,392.16/2,088.69 = 468.14/x
  3. Step 3: Cross multiply
    1,392.16x = 2,088.69 × 468.14
  4. Step 4: Simplify right side
    1,392.16x = 977,799.34
  5. Step 5: Solve for x
    x = 977,799.34/1,392.16
  6. Step 6: Final answer
    x = 702.36

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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.