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Finding the Fourth Proportional to 1,046.09, 1,569.43 and 315.68

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Solution

The fourth proportional to 1,046.09, 1,569.43 and 315.68 is: 473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.09 : 1,569.43 = 315.68 : x
  2. Step 2: Convert to fraction form
    1,046.09/1,569.43 = 315.68/x
  3. Step 3: Cross multiply
    1,046.09x = 1,569.43 × 315.68
  4. Step 4: Simplify right side
    1,046.09x = 495,430.21
  5. Step 5: Solve for x
    x = 495,430.21/1,046.09
  6. Step 6: Final answer
    x = 473.60

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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.