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Finding the Fourth Proportional to 1,046, 1,569.34 and 315.56

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Solution

The fourth proportional to 1,046, 1,569.34 and 315.56 is: 473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046 : 1,569.34 = 315.56 : x
  2. Step 2: Convert to fraction form
    1,046/1,569.34 = 315.56/x
  3. Step 3: Cross multiply
    1,046x = 1,569.34 × 315.56
  4. Step 4: Simplify right side
    1,046x = 495,220.93
  5. Step 5: Solve for x
    x = 495,220.93/1,046
  6. Step 6: Final answer
    x = 473.44

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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.