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Finding the Fourth Proportional to 1,146.84, 1,581.04 and 980.32

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Solution

The fourth proportional to 1,146.84, 1,581.04 and 980.32 is: 1,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.84 : 1,581.04 = 980.32 : x
  2. Step 2: Convert to fraction form
    1,146.84/1,581.04 = 980.32/x
  3. Step 3: Cross multiply
    1,146.84x = 1,581.04 × 980.32
  4. Step 4: Simplify right side
    1,146.84x = 1,549,925.13
  5. Step 5: Solve for x
    x = 1,549,925.13/1,146.84
  6. Step 6: Final answer
    x = 1,351.47

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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.