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Finding the Fourth Proportional to 1,133.88, 1,565.65 and 756.14

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Solution

The fourth proportional to 1,133.88, 1,565.65 and 756.14 is: 1,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.88 : 1,565.65 = 756.14 : x
  2. Step 2: Convert to fraction form
    1,133.88/1,565.65 = 756.14/x
  3. Step 3: Cross multiply
    1,133.88x = 1,565.65 × 756.14
  4. Step 4: Simplify right side
    1,133.88x = 1,183,843.71
  5. Step 5: Solve for x
    x = 1,183,843.71/1,133.88
  6. Step 6: Final answer
    x = 1,044.07

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Double 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.