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Finding the Fourth Proportional to 1,148.48, 1,584.89 and 651.16

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Solution

The fourth proportional to 1,148.48, 1,584.89 and 651.16 is: 898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.48 : 1,584.89 = 651.16 : x
  2. Step 2: Convert to fraction form
    1,148.48/1,584.89 = 651.16/x
  3. Step 3: Cross multiply
    1,148.48x = 1,584.89 × 651.16
  4. Step 4: Simplify right side
    1,148.48x = 1,032,024.43
  5. Step 5: Solve for x
    x = 1,032,024.43/1,148.48
  6. Step 6: Final answer
    x = 898.60

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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.