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Finding the Fourth Proportional to 1,029, 1,544.58 and 618.60

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Solution

The fourth proportional to 1,029, 1,544.58 and 618.60 is: 928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029 : 1,544.58 = 618.60 : x
  2. Step 2: Convert to fraction form
    1,029/1,544.58 = 618.60/x
  3. Step 3: Cross multiply
    1,029x = 1,544.58 × 618.60
  4. Step 4: Simplify right side
    1,029x = 955,477.19
  5. Step 5: Solve for x
    x = 955,477.19/1,029
  6. Step 6: Final answer
    x = 928.55

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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.