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Finding the Fourth Proportional to 1,061.70, 1,465.10 and 619.54

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Solution

The fourth proportional to 1,061.70, 1,465.10 and 619.54 is: 854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.70 : 1,465.10 = 619.54 : x
  2. Step 2: Convert to fraction form
    1,061.70/1,465.10 = 619.54/x
  3. Step 3: Cross multiply
    1,061.70x = 1,465.10 × 619.54
  4. Step 4: Simplify right side
    1,061.70x = 907,688.05
  5. Step 5: Solve for x
    x = 907,688.05/1,061.70
  6. Step 6: Final answer
    x = 854.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.