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Finding the Fourth Proportional to 699.48, 1,048.32 and 653.40

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Solution

The fourth proportional to 699.48, 1,048.32 and 653.40 is: 979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.48 : 1,048.32 = 653.40 : x
  2. Step 2: Convert to fraction form
    699.48/1,048.32 = 653.40/x
  3. Step 3: Cross multiply
    699.48x = 1,048.32 × 653.40
  4. Step 4: Simplify right side
    699.48x = 684,972.29
  5. Step 5: Solve for x
    x = 684,972.29/699.48
  6. Step 6: Final answer
    x = 979.26

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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.