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Finding the Fourth Proportional to 1,148.54, 1,585.01 and 624.60

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Solution

The fourth proportional to 1,148.54, 1,585.01 and 624.60 is: 861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.54 : 1,585.01 = 624.60 : x
  2. Step 2: Convert to fraction form
    1,148.54/1,585.01 = 624.60/x
  3. Step 3: Cross multiply
    1,148.54x = 1,585.01 × 624.60
  4. Step 4: Simplify right side
    1,148.54x = 989,994.12
  5. Step 5: Solve for x
    x = 989,994.12/1,148.54
  6. Step 6: Final answer
    x = 861.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.