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Finding the Fourth Proportional to 1,045.88, 1,569.04 and 315.52

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Solution

The fourth proportional to 1,045.88, 1,569.04 and 315.52 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.88 : 1,569.04 = 315.52 : x
  2. Step 2: Convert to fraction form
    1,045.88/1,569.04 = 315.52/x
  3. Step 3: Cross multiply
    1,045.88x = 1,569.04 × 315.52
  4. Step 4: Simplify right side
    1,045.88x = 495,063.50
  5. Step 5: Solve for x
    x = 495,063.50/1,045.88
  6. Step 6: Final answer
    x = 473.35

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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.