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Finding the Fourth Proportional to 562.02, 841.68 and 543.93

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Solution

The fourth proportional to 562.02, 841.68 and 543.93 is: 814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.02 : 841.68 = 543.93 : x
  2. Step 2: Convert to fraction form
    562.02/841.68 = 543.93/x
  3. Step 3: Cross multiply
    562.02x = 841.68 × 543.93
  4. Step 4: Simplify right side
    562.02x = 457,815.00
  5. Step 5: Solve for x
    x = 457,815.00/562.02
  6. Step 6: Final answer
    x = 814.59

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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.