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Finding the Fourth Proportional to 876.84, 1,315.27 and 602.10

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Solution

The fourth proportional to 876.84, 1,315.27 and 602.10 is: 903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.84 : 1,315.27 = 602.10 : x
  2. Step 2: Convert to fraction form
    876.84/1,315.27 = 602.10/x
  3. Step 3: Cross multiply
    876.84x = 1,315.27 × 602.10
  4. Step 4: Simplify right side
    876.84x = 791,924.07
  5. Step 5: Solve for x
    x = 791,924.07/876.84
  6. Step 6: Final answer
    x = 903.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.