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Finding the Fourth Proportional to 586.02, 874.43 and 524.73

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Solution

The fourth proportional to 586.02, 874.43 and 524.73 is: 782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.02 : 874.43 = 524.73 : x
  2. Step 2: Convert to fraction form
    586.02/874.43 = 524.73/x
  3. Step 3: Cross multiply
    586.02x = 874.43 × 524.73
  4. Step 4: Simplify right side
    586.02x = 458,839.65
  5. Step 5: Solve for x
    x = 458,839.65/586.02
  6. Step 6: Final answer
    x = 782.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.