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Finding the Fourth Proportional to 1,047.23, 1,569.74 and 353.66

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Solution

The fourth proportional to 1,047.23, 1,569.74 and 353.66 is: 530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.23 : 1,569.74 = 353.66 : x
  2. Step 2: Convert to fraction form
    1,047.23/1,569.74 = 353.66/x
  3. Step 3: Cross multiply
    1,047.23x = 1,569.74 × 353.66
  4. Step 4: Simplify right side
    1,047.23x = 555,147.95
  5. Step 5: Solve for x
    x = 555,147.95/1,047.23
  6. Step 6: Final answer
    x = 530.11

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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.