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Finding the Fourth Proportional to 1,139.32, 1,707.32 and 907.16

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Solution

The fourth proportional to 1,139.32, 1,707.32 and 907.16 is: 1,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.32 : 1,707.32 = 907.16 : x
  2. Step 2: Convert to fraction form
    1,139.32/1,707.32 = 907.16/x
  3. Step 3: Cross multiply
    1,139.32x = 1,707.32 × 907.16
  4. Step 4: Simplify right side
    1,139.32x = 1,548,812.41
  5. Step 5: Solve for x
    x = 1,548,812.41/1,139.32
  6. Step 6: Final answer
    x = 1,359.42

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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.