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Finding the Fourth Proportional to 1,057.52, 1,586.72 and 646.67

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Solution

The fourth proportional to 1,057.52, 1,586.72 and 646.67 is: 970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.52 : 1,586.72 = 646.67 : x
  2. Step 2: Convert to fraction form
    1,057.52/1,586.72 = 646.67/x
  3. Step 3: Cross multiply
    1,057.52x = 1,586.72 × 646.67
  4. Step 4: Simplify right side
    1,057.52x = 1,026,089.81
  5. Step 5: Solve for x
    x = 1,026,089.81/1,057.52
  6. Step 6: Final answer
    x = 970.28

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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.