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Finding the Fourth Proportional to 1,132.84, 1,698.06 and 483.24

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Solution

The fourth proportional to 1,132.84, 1,698.06 and 483.24 is: 724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.84 : 1,698.06 = 483.24 : x
  2. Step 2: Convert to fraction form
    1,132.84/1,698.06 = 483.24/x
  3. Step 3: Cross multiply
    1,132.84x = 1,698.06 × 483.24
  4. Step 4: Simplify right side
    1,132.84x = 820,570.51
  5. Step 5: Solve for x
    x = 820,570.51/1,132.84
  6. Step 6: Final answer
    x = 724.35

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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.