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Finding the Fourth Proportional to 587.50, 876.69 and 509.74

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Solution

The fourth proportional to 587.50, 876.69 and 509.74 is: 760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.50 : 876.69 = 509.74 : x
  2. Step 2: Convert to fraction form
    587.50/876.69 = 509.74/x
  3. Step 3: Cross multiply
    587.50x = 876.69 × 509.74
  4. Step 4: Simplify right side
    587.50x = 446,883.96
  5. Step 5: Solve for x
    x = 446,883.96/587.50
  6. Step 6: Final answer
    x = 760.65

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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.