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Finding the Fourth Proportional to 1,405.04, 1,937.71 and 907.16

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Solution

The fourth proportional to 1,405.04, 1,937.71 and 907.16 is: 1,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.04 : 1,937.71 = 907.16 : x
  2. Step 2: Convert to fraction form
    1,405.04/1,937.71 = 907.16/x
  3. Step 3: Cross multiply
    1,405.04x = 1,937.71 × 907.16
  4. Step 4: Simplify right side
    1,405.04x = 1,757,810.74
  5. Step 5: Solve for x
    x = 1,757,810.74/1,405.04
  6. Step 6: Final answer
    x = 1,251.07

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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.