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Finding the Fourth Proportional to 1,057.66, 1,586.40 and 364.58

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Solution

The fourth proportional to 1,057.66, 1,586.40 and 364.58 is: 546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.66 : 1,586.40 = 364.58 : x
  2. Step 2: Convert to fraction form
    1,057.66/1,586.40 = 364.58/x
  3. Step 3: Cross multiply
    1,057.66x = 1,586.40 × 364.58
  4. Step 4: Simplify right side
    1,057.66x = 578,369.71
  5. Step 5: Solve for x
    x = 578,369.71/1,057.66
  6. Step 6: Final answer
    x = 546.84

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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.