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Finding the Fourth Proportional to 738.16, 1,106.16 and 576.16

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Solution

The fourth proportional to 738.16, 1,106.16 and 576.16 is: 863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,106.16 = 576.16 : x
  2. Step 2: Convert to fraction form
    738.16/1,106.16 = 576.16/x
  3. Step 3: Cross multiply
    738.16x = 1,106.16 × 576.16
  4. Step 4: Simplify right side
    738.16x = 637,325.15
  5. Step 5: Solve for x
    x = 637,325.15/738.16
  6. Step 6: Final answer
    x = 863.40

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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.