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Finding the Fourth Proportional to 824.04, 1,135.62 and 590.76

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Solution

The fourth proportional to 824.04, 1,135.62 and 590.76 is: 814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.04 : 1,135.62 = 590.76 : x
  2. Step 2: Convert to fraction form
    824.04/1,135.62 = 590.76/x
  3. Step 3: Cross multiply
    824.04x = 1,135.62 × 590.76
  4. Step 4: Simplify right side
    824.04x = 670,878.87
  5. Step 5: Solve for x
    x = 670,878.87/824.04
  6. Step 6: Final answer
    x = 814.13

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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.