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Finding the Fourth Proportional to 587.69, 881.93 and 583.13

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Solution

The fourth proportional to 587.69, 881.93 and 583.13 is: 875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.69 : 881.93 = 583.13 : x
  2. Step 2: Convert to fraction form
    587.69/881.93 = 583.13/x
  3. Step 3: Cross multiply
    587.69x = 881.93 × 583.13
  4. Step 4: Simplify right side
    587.69x = 514,275.43
  5. Step 5: Solve for x
    x = 514,275.43/587.69
  6. Step 6: Final answer
    x = 875.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.