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Finding the Fourth Proportional to 1,913.50, 2,870.25 and 526.78

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Solution

The fourth proportional to 1,913.50, 2,870.25 and 526.78 is: 790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.50 : 2,870.25 = 526.78 : x
  2. Step 2: Convert to fraction form
    1,913.50/2,870.25 = 526.78/x
  3. Step 3: Cross multiply
    1,913.50x = 2,870.25 × 526.78
  4. Step 4: Simplify right side
    1,913.50x = 1,511,990.30
  5. Step 5: Solve for x
    x = 1,511,990.30/1,913.50
  6. Step 6: Final answer
    x = 790.17

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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.