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Finding the Fourth Proportional to 1,132.59, 1,698.91 and 1,004.17

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Solution

The fourth proportional to 1,132.59, 1,698.91 and 1,004.17 is: 1,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.59 : 1,698.91 = 1,004.17 : x
  2. Step 2: Convert to fraction form
    1,132.59/1,698.91 = 1,004.17/x
  3. Step 3: Cross multiply
    1,132.59x = 1,698.91 × 1,004.17
  4. Step 4: Simplify right side
    1,132.59x = 1,705,994.45
  5. Step 5: Solve for x
    x = 1,705,994.45/1,132.59
  6. Step 6: Final answer
    x = 1,506.28

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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.