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Finding the Fourth Proportional to 738.96, 1,106.04 and 465.24

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Solution

The fourth proportional to 738.96, 1,106.04 and 465.24 is: 696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.96 : 1,106.04 = 465.24 : x
  2. Step 2: Convert to fraction form
    738.96/1,106.04 = 465.24/x
  3. Step 3: Cross multiply
    738.96x = 1,106.04 × 465.24
  4. Step 4: Simplify right side
    738.96x = 514,574.05
  5. Step 5: Solve for x
    x = 514,574.05/738.96
  6. Step 6: Final answer
    x = 696.35

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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.