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Finding the Fourth Proportional to 1,130.45, 1,560.75 and 984.65

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Solution

The fourth proportional to 1,130.45, 1,560.75 and 984.65 is: 1,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.45 : 1,560.75 = 984.65 : x
  2. Step 2: Convert to fraction form
    1,130.45/1,560.75 = 984.65/x
  3. Step 3: Cross multiply
    1,130.45x = 1,560.75 × 984.65
  4. Step 4: Simplify right side
    1,130.45x = 1,536,792.49
  5. Step 5: Solve for x
    x = 1,536,792.49/1,130.45
  6. Step 6: Final answer
    x = 1,359.45

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Half scale
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1.5x scale

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.