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Finding the Fourth Proportional to 1,047.47, 1,570.72 and 316.91

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Solution

The fourth proportional to 1,047.47, 1,570.72 and 316.91 is: 475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.47 : 1,570.72 = 316.91 : x
  2. Step 2: Convert to fraction form
    1,047.47/1,570.72 = 316.91/x
  3. Step 3: Cross multiply
    1,047.47x = 1,570.72 × 316.91
  4. Step 4: Simplify right side
    1,047.47x = 497,776.88
  5. Step 5: Solve for x
    x = 497,776.88/1,047.47
  6. Step 6: Final answer
    x = 475.22

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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.