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Finding the Fourth Proportional to 1,046.41, 1,569.62 and 315.99

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Solution

The fourth proportional to 1,046.41, 1,569.62 and 315.99 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.41 : 1,569.62 = 315.99 : x
  2. Step 2: Convert to fraction form
    1,046.41/1,569.62 = 315.99/x
  3. Step 3: Cross multiply
    1,046.41x = 1,569.62 × 315.99
  4. Step 4: Simplify right side
    1,046.41x = 495,985.01
  5. Step 5: Solve for x
    x = 495,985.01/1,046.41
  6. Step 6: Final answer
    x = 473.99

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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.