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Finding the Fourth Proportional to 1,554.57, 2,332.23 and 458.91

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Solution

The fourth proportional to 1,554.57, 2,332.23 and 458.91 is: 688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.57 : 2,332.23 = 458.91 : x
  2. Step 2: Convert to fraction form
    1,554.57/2,332.23 = 458.91/x
  3. Step 3: Cross multiply
    1,554.57x = 2,332.23 × 458.91
  4. Step 4: Simplify right side
    1,554.57x = 1,070,283.67
  5. Step 5: Solve for x
    x = 1,070,283.67/1,554.57
  6. Step 6: Final answer
    x = 688.48

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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.