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Finding the Fourth Proportional to 595.02, 896.93 and 543.18

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Solution

The fourth proportional to 595.02, 896.93 and 543.18 is: 818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.02 : 896.93 = 543.18 : x
  2. Step 2: Convert to fraction form
    595.02/896.93 = 543.18/x
  3. Step 3: Cross multiply
    595.02x = 896.93 × 543.18
  4. Step 4: Simplify right side
    595.02x = 487,191.72
  5. Step 5: Solve for x
    x = 487,191.72/595.02
  6. Step 6: Final answer
    x = 818.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.