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Finding the Fourth Proportional to 1,527, 2,290.80 and 553.14

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Solution

The fourth proportional to 1,527, 2,290.80 and 553.14 is: 829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527 : 2,290.80 = 553.14 : x
  2. Step 2: Convert to fraction form
    1,527/2,290.80 = 553.14/x
  3. Step 3: Cross multiply
    1,527x = 2,290.80 × 553.14
  4. Step 4: Simplify right side
    1,527x = 1,267,133.11
  5. Step 5: Solve for x
    x = 1,267,133.11/1,527
  6. Step 6: Final answer
    x = 829.82

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Why These Related Problems?

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