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Finding the Fourth Proportional to 1,370.66, 2,057.05 and 549.47

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Solution

The fourth proportional to 1,370.66, 2,057.05 and 549.47 is: 824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.66 : 2,057.05 = 549.47 : x
  2. Step 2: Convert to fraction form
    1,370.66/2,057.05 = 549.47/x
  3. Step 3: Cross multiply
    1,370.66x = 2,057.05 × 549.47
  4. Step 4: Simplify right side
    1,370.66x = 1,130,291.03
  5. Step 5: Solve for x
    x = 1,130,291.03/1,370.66
  6. Step 6: Final answer
    x = 824.64

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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.