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Finding the Fourth Proportional to 1,260.62, 1,886.94 and 711.17

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Solution

The fourth proportional to 1,260.62, 1,886.94 and 711.17 is: 1,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.62 : 1,886.94 = 711.17 : x
  2. Step 2: Convert to fraction form
    1,260.62/1,886.94 = 711.17/x
  3. Step 3: Cross multiply
    1,260.62x = 1,886.94 × 711.17
  4. Step 4: Simplify right side
    1,260.62x = 1,341,935.12
  5. Step 5: Solve for x
    x = 1,341,935.12/1,260.62
  6. Step 6: Final answer
    x = 1,064.50

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1.5x scale

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.