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Finding the Fourth Proportional to 1,573.64, 2,358.78 and 750.18

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Solution

The fourth proportional to 1,573.64, 2,358.78 and 750.18 is: 1,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.64 : 2,358.78 = 750.18 : x
  2. Step 2: Convert to fraction form
    1,573.64/2,358.78 = 750.18/x
  3. Step 3: Cross multiply
    1,573.64x = 2,358.78 × 750.18
  4. Step 4: Simplify right side
    1,573.64x = 1,769,509.58
  5. Step 5: Solve for x
    x = 1,769,509.58/1,573.64
  6. Step 6: Final answer
    x = 1,124.47

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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.