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Finding the Fourth Proportional to 838.04, 1,155.70 and 543.16

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Solution

The fourth proportional to 838.04, 1,155.70 and 543.16 is: 749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.04 : 1,155.70 = 543.16 : x
  2. Step 2: Convert to fraction form
    838.04/1,155.70 = 543.16/x
  3. Step 3: Cross multiply
    838.04x = 1,155.70 × 543.16
  4. Step 4: Simplify right side
    838.04x = 627,730.01
  5. Step 5: Solve for x
    x = 627,730.01/838.04
  6. Step 6: Final answer
    x = 749.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.