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Finding the Fourth Proportional to 585.01, 874.93 and 520.46

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Solution

The fourth proportional to 585.01, 874.93 and 520.46 is: 778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.01 : 874.93 = 520.46 : x
  2. Step 2: Convert to fraction form
    585.01/874.93 = 520.46/x
  3. Step 3: Cross multiply
    585.01x = 874.93 × 520.46
  4. Step 4: Simplify right side
    585.01x = 455,366.95
  5. Step 5: Solve for x
    x = 455,366.95/585.01
  6. Step 6: Final answer
    x = 778.40

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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.