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Finding the Fourth Proportional to 585.99, 874.68 and 537.30

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Solution

The fourth proportional to 585.99, 874.68 and 537.30 is: 802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.99 : 874.68 = 537.30 : x
  2. Step 2: Convert to fraction form
    585.99/874.68 = 537.30/x
  3. Step 3: Cross multiply
    585.99x = 874.68 × 537.30
  4. Step 4: Simplify right side
    585.99x = 469,965.56
  5. Step 5: Solve for x
    x = 469,965.56/585.99
  6. Step 6: Final answer
    x = 802.00

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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.