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Finding the Fourth Proportional to 1,047.46, 1,570.59 and 316.82

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Solution

The fourth proportional to 1,047.46, 1,570.59 and 316.82 is: 475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.46 : 1,570.59 = 316.82 : x
  2. Step 2: Convert to fraction form
    1,047.46/1,570.59 = 316.82/x
  3. Step 3: Cross multiply
    1,047.46x = 1,570.59 × 316.82
  4. Step 4: Simplify right side
    1,047.46x = 497,594.32
  5. Step 5: Solve for x
    x = 497,594.32/1,047.46
  6. Step 6: Final answer
    x = 475.05

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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.