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Finding the Fourth Proportional to 1,002.45, 1,382.90 and 707.07

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Solution

The fourth proportional to 1,002.45, 1,382.90 and 707.07 is: 975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.45 : 1,382.90 = 707.07 : x
  2. Step 2: Convert to fraction form
    1,002.45/1,382.90 = 707.07/x
  3. Step 3: Cross multiply
    1,002.45x = 1,382.90 × 707.07
  4. Step 4: Simplify right side
    1,002.45x = 977,803.57
  5. Step 5: Solve for x
    x = 977,803.57/1,002.45
  6. Step 6: Final answer
    x = 975.41

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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.