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Finding the Fourth Proportional to 1,154.04, 1,723.24 and 907.80

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Solution

The fourth proportional to 1,154.04, 1,723.24 and 907.80 is: 1,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.04 : 1,723.24 = 907.80 : x
  2. Step 2: Convert to fraction form
    1,154.04/1,723.24 = 907.80/x
  3. Step 3: Cross multiply
    1,154.04x = 1,723.24 × 907.80
  4. Step 4: Simplify right side
    1,154.04x = 1,564,357.27
  5. Step 5: Solve for x
    x = 1,564,357.27/1,154.04
  6. Step 6: Final answer
    x = 1,355.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.