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Finding the Fourth Proportional to 920.92, 1,271 and 590.13

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Solution

The fourth proportional to 920.92, 1,271 and 590.13 is: 814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.92 : 1,271 = 590.13 : x
  2. Step 2: Convert to fraction form
    920.92/1,271 = 590.13/x
  3. Step 3: Cross multiply
    920.92x = 1,271 × 590.13
  4. Step 4: Simplify right side
    920.92x = 750,055.23
  5. Step 5: Solve for x
    x = 750,055.23/920.92
  6. Step 6: Final answer
    x = 814.46

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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.