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Finding the Fourth Proportional to 1,526.94, 2,290.56 and 553.08

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Solution

The fourth proportional to 1,526.94, 2,290.56 and 553.08 is: 829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.94 : 2,290.56 = 553.08 : x
  2. Step 2: Convert to fraction form
    1,526.94/2,290.56 = 553.08/x
  3. Step 3: Cross multiply
    1,526.94x = 2,290.56 × 553.08
  4. Step 4: Simplify right side
    1,526.94x = 1,266,862.92
  5. Step 5: Solve for x
    x = 1,266,862.92/1,526.94
  6. Step 6: Final answer
    x = 829.67

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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.