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Finding the Fourth Proportional to 1,055.58, 1,454.86 and 907.62

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Solution

The fourth proportional to 1,055.58, 1,454.86 and 907.62 is: 1,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.58 : 1,454.86 = 907.62 : x
  2. Step 2: Convert to fraction form
    1,055.58/1,454.86 = 907.62/x
  3. Step 3: Cross multiply
    1,055.58x = 1,454.86 × 907.62
  4. Step 4: Simplify right side
    1,055.58x = 1,320,460.03
  5. Step 5: Solve for x
    x = 1,320,460.03/1,055.58
  6. Step 6: Final answer
    x = 1,250.93

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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.