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Finding the Fourth Proportional to 583.74, 805.64 and 501.12

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Solution

The fourth proportional to 583.74, 805.64 and 501.12 is: 691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 805.64 = 501.12 : x
  2. Step 2: Convert to fraction form
    583.74/805.64 = 501.12/x
  3. Step 3: Cross multiply
    583.74x = 805.64 × 501.12
  4. Step 4: Simplify right side
    583.74x = 403,719.81
  5. Step 5: Solve for x
    x = 403,719.81/583.74
  6. Step 6: Final answer
    x = 691.61

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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.