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Finding the Fourth Proportional to 1,047.52, 1,570.72 and 353.92

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Solution

The fourth proportional to 1,047.52, 1,570.72 and 353.92 is: 530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.52 : 1,570.72 = 353.92 : x
  2. Step 2: Convert to fraction form
    1,047.52/1,570.72 = 353.92/x
  3. Step 3: Cross multiply
    1,047.52x = 1,570.72 × 353.92
  4. Step 4: Simplify right side
    1,047.52x = 555,909.22
  5. Step 5: Solve for x
    x = 555,909.22/1,047.52
  6. Step 6: Final answer
    x = 530.69

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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.