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Finding the Fourth Proportional to 1,047.60, 1,570.25 and 526.77

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Solution

The fourth proportional to 1,047.60, 1,570.25 and 526.77 is: 789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.60 : 1,570.25 = 526.77 : x
  2. Step 2: Convert to fraction form
    1,047.60/1,570.25 = 526.77/x
  3. Step 3: Cross multiply
    1,047.60x = 1,570.25 × 526.77
  4. Step 4: Simplify right side
    1,047.60x = 827,161.91
  5. Step 5: Solve for x
    x = 827,161.91/1,047.60
  6. Step 6: Final answer
    x = 789.58

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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.