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Finding the Fourth Proportional to 1,020.37, 1,409.12 and 690.10

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Solution

The fourth proportional to 1,020.37, 1,409.12 and 690.10 is: 953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.37 : 1,409.12 = 690.10 : x
  2. Step 2: Convert to fraction form
    1,020.37/1,409.12 = 690.10/x
  3. Step 3: Cross multiply
    1,020.37x = 1,409.12 × 690.10
  4. Step 4: Simplify right side
    1,020.37x = 972,433.71
  5. Step 5: Solve for x
    x = 972,433.71/1,020.37
  6. Step 6: Final answer
    x = 953.02

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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.