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Finding the Fourth Proportional to 876.51, 1,209.66 and 655.07

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Solution

The fourth proportional to 876.51, 1,209.66 and 655.07 is: 904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.51 : 1,209.66 = 655.07 : x
  2. Step 2: Convert to fraction form
    876.51/1,209.66 = 655.07/x
  3. Step 3: Cross multiply
    876.51x = 1,209.66 × 655.07
  4. Step 4: Simplify right side
    876.51x = 792,416.58
  5. Step 5: Solve for x
    x = 792,416.58/876.51
  6. Step 6: Final answer
    x = 904.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.