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Finding the Fourth Proportional to 1,326.32, 1,830.55 and 766.70

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Solution

The fourth proportional to 1,326.32, 1,830.55 and 766.70 is: 1,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.32 : 1,830.55 = 766.70 : x
  2. Step 2: Convert to fraction form
    1,326.32/1,830.55 = 766.70/x
  3. Step 3: Cross multiply
    1,326.32x = 1,830.55 × 766.70
  4. Step 4: Simplify right side
    1,326.32x = 1,403,471.62
  5. Step 5: Solve for x
    x = 1,403,471.62/1,326.32
  6. Step 6: Final answer
    x = 1,058.17

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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.