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Finding the Fourth Proportional to 587.75, 809.24 and 569.12

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Solution

The fourth proportional to 587.75, 809.24 and 569.12 is: 783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.75 : 809.24 = 569.12 : x
  2. Step 2: Convert to fraction form
    587.75/809.24 = 569.12/x
  3. Step 3: Cross multiply
    587.75x = 809.24 × 569.12
  4. Step 4: Simplify right side
    587.75x = 460,547.78
  5. Step 5: Solve for x
    x = 460,547.78/587.75
  6. Step 6: Final answer
    x = 783.58

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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.