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Finding the Fourth Proportional to 1,005.41, 1,506.80 and 543.51

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Solution

The fourth proportional to 1,005.41, 1,506.80 and 543.51 is: 814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.41 : 1,506.80 = 543.51 : x
  2. Step 2: Convert to fraction form
    1,005.41/1,506.80 = 543.51/x
  3. Step 3: Cross multiply
    1,005.41x = 1,506.80 × 543.51
  4. Step 4: Simplify right side
    1,005.41x = 818,962.23
  5. Step 5: Solve for x
    x = 818,962.23/1,005.41
  6. Step 6: Final answer
    x = 814.55

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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.