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Finding the Fourth Proportional to 585.57, 873.84 and 524.07

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Solution

The fourth proportional to 585.57, 873.84 and 524.07 is: 782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.57 : 873.84 = 524.07 : x
  2. Step 2: Convert to fraction form
    585.57/873.84 = 524.07/x
  3. Step 3: Cross multiply
    585.57x = 873.84 × 524.07
  4. Step 4: Simplify right side
    585.57x = 457,953.33
  5. Step 5: Solve for x
    x = 457,953.33/585.57
  6. Step 6: Final answer
    x = 782.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.