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Finding the Fourth Proportional to 1,047.86, 1,446.10 and 582.11

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Solution

The fourth proportional to 1,047.86, 1,446.10 and 582.11 is: 803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.86 : 1,446.10 = 582.11 : x
  2. Step 2: Convert to fraction form
    1,047.86/1,446.10 = 582.11/x
  3. Step 3: Cross multiply
    1,047.86x = 1,446.10 × 582.11
  4. Step 4: Simplify right side
    1,047.86x = 841,782.04
  5. Step 5: Solve for x
    x = 841,782.04/1,047.86
  6. Step 6: Final answer
    x = 803.34

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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.