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Finding the Fourth Proportional to 1,047.14, 1,570.46 and 316.77

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Solution

The fourth proportional to 1,047.14, 1,570.46 and 316.77 is: 475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.14 : 1,570.46 = 316.77 : x
  2. Step 2: Convert to fraction form
    1,047.14/1,570.46 = 316.77/x
  3. Step 3: Cross multiply
    1,047.14x = 1,570.46 × 316.77
  4. Step 4: Simplify right side
    1,047.14x = 497,478.92
  5. Step 5: Solve for x
    x = 497,478.92/1,047.14
  6. Step 6: Final answer
    x = 475.08

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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.