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Finding the Fourth Proportional to 1,047.50, 1,570.14 and 353.50

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Solution

The fourth proportional to 1,047.50, 1,570.14 and 353.50 is: 529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.50 : 1,570.14 = 353.50 : x
  2. Step 2: Convert to fraction form
    1,047.50/1,570.14 = 353.50/x
  3. Step 3: Cross multiply
    1,047.50x = 1,570.14 × 353.50
  4. Step 4: Simplify right side
    1,047.50x = 555,044.49
  5. Step 5: Solve for x
    x = 555,044.49/1,047.50
  6. Step 6: Final answer
    x = 529.88

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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.