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Finding the Fourth Proportional to 1,047.88, 1,446.07 and 582.16

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Solution

The fourth proportional to 1,047.88, 1,446.07 and 582.16 is: 803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.88 : 1,446.07 = 582.16 : x
  2. Step 2: Convert to fraction form
    1,047.88/1,446.07 = 582.16/x
  3. Step 3: Cross multiply
    1,047.88x = 1,446.07 × 582.16
  4. Step 4: Simplify right side
    1,047.88x = 841,836.88
  5. Step 5: Solve for x
    x = 841,836.88/1,047.88
  6. Step 6: Final answer
    x = 803.38

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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.