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Finding the Fourth Proportional to 1,145.89, 1,580.16 and 980.65

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Solution

The fourth proportional to 1,145.89, 1,580.16 and 980.65 is: 1,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.89 : 1,580.16 = 980.65 : x
  2. Step 2: Convert to fraction form
    1,145.89/1,580.16 = 980.65/x
  3. Step 3: Cross multiply
    1,145.89x = 1,580.16 × 980.65
  4. Step 4: Simplify right side
    1,145.89x = 1,549,583.90
  5. Step 5: Solve for x
    x = 1,549,583.90/1,145.89
  6. Step 6: Final answer
    x = 1,352.30

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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.