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Finding the Fourth Proportional to 1,048.55, 1,573.06 and 355.18

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Solution

The fourth proportional to 1,048.55, 1,573.06 and 355.18 is: 532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.55 : 1,573.06 = 355.18 : x
  2. Step 2: Convert to fraction form
    1,048.55/1,573.06 = 355.18/x
  3. Step 3: Cross multiply
    1,048.55x = 1,573.06 × 355.18
  4. Step 4: Simplify right side
    1,048.55x = 558,719.45
  5. Step 5: Solve for x
    x = 558,719.45/1,048.55
  6. Step 6: Final answer
    x = 532.85

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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.