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Finding the Fourth Proportional to 1,022.72, 1,410 and 707.36

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Solution

The fourth proportional to 1,022.72, 1,410 and 707.36 is: 975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.72 : 1,410 = 707.36 : x
  2. Step 2: Convert to fraction form
    1,022.72/1,410 = 707.36/x
  3. Step 3: Cross multiply
    1,022.72x = 1,410 × 707.36
  4. Step 4: Simplify right side
    1,022.72x = 997,377.60
  5. Step 5: Solve for x
    x = 997,377.60/1,022.72
  6. Step 6: Final answer
    x = 975.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.