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Finding the Fourth Proportional to 994.24, 1,492.32 and 972.16

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Solution

The fourth proportional to 994.24, 1,492.32 and 972.16 is: 1,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.24 : 1,492.32 = 972.16 : x
  2. Step 2: Convert to fraction form
    994.24/1,492.32 = 972.16/x
  3. Step 3: Cross multiply
    994.24x = 1,492.32 × 972.16
  4. Step 4: Simplify right side
    994.24x = 1,450,773.81
  5. Step 5: Solve for x
    x = 1,450,773.81/994.24
  6. Step 6: Final answer
    x = 1,459.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.