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Finding the Fourth Proportional to 586.41, 875.03 and 582.99

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Solution

The fourth proportional to 586.41, 875.03 and 582.99 is: 869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.41 : 875.03 = 582.99 : x
  2. Step 2: Convert to fraction form
    586.41/875.03 = 582.99/x
  3. Step 3: Cross multiply
    586.41x = 875.03 × 582.99
  4. Step 4: Simplify right side
    586.41x = 510,130.82
  5. Step 5: Solve for x
    x = 510,130.82/586.41
  6. Step 6: Final answer
    x = 869.92

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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.