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Finding the Fourth Proportional to 1,047.08, 1,570.02 and 526.70

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Solution

The fourth proportional to 1,047.08, 1,570.02 and 526.70 is: 789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.08 : 1,570.02 = 526.70 : x
  2. Step 2: Convert to fraction form
    1,047.08/1,570.02 = 526.70/x
  3. Step 3: Cross multiply
    1,047.08x = 1,570.02 × 526.70
  4. Step 4: Simplify right side
    1,047.08x = 826,929.53
  5. Step 5: Solve for x
    x = 826,929.53/1,047.08
  6. Step 6: Final answer
    x = 789.75

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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.