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Finding the Fourth Proportional to 1,046.46, 1,570.05 and 316.02

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Solution

The fourth proportional to 1,046.46, 1,570.05 and 316.02 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.46 : 1,570.05 = 316.02 : x
  2. Step 2: Convert to fraction form
    1,046.46/1,570.05 = 316.02/x
  3. Step 3: Cross multiply
    1,046.46x = 1,570.05 × 316.02
  4. Step 4: Simplify right side
    1,046.46x = 496,167.20
  5. Step 5: Solve for x
    x = 496,167.20/1,046.46
  6. Step 6: Final answer
    x = 474.14

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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.