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Finding the Fourth Proportional to 1,526.84, 2,290.57 and 486.81

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Solution

The fourth proportional to 1,526.84, 2,290.57 and 486.81 is: 730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.84 : 2,290.57 = 486.81 : x
  2. Step 2: Convert to fraction form
    1,526.84/2,290.57 = 486.81/x
  3. Step 3: Cross multiply
    1,526.84x = 2,290.57 × 486.81
  4. Step 4: Simplify right side
    1,526.84x = 1,115,070.48
  5. Step 5: Solve for x
    x = 1,115,070.48/1,526.84
  6. Step 6: Final answer
    x = 730.31

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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.