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Finding the Fourth Proportional to 1,047.48, 1,570.20 and 353.52

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Solution

The fourth proportional to 1,047.48, 1,570.20 and 353.52 is: 529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.48 : 1,570.20 = 353.52 : x
  2. Step 2: Convert to fraction form
    1,047.48/1,570.20 = 353.52/x
  3. Step 3: Cross multiply
    1,047.48x = 1,570.20 × 353.52
  4. Step 4: Simplify right side
    1,047.48x = 555,097.10
  5. Step 5: Solve for x
    x = 555,097.10/1,047.48
  6. Step 6: Final answer
    x = 529.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.