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Finding the Fourth Proportional to 1,061.34, 1,464.84 and 619.32

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Solution

The fourth proportional to 1,061.34, 1,464.84 and 619.32 is: 854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.34 : 1,464.84 = 619.32 : x
  2. Step 2: Convert to fraction form
    1,061.34/1,464.84 = 619.32/x
  3. Step 3: Cross multiply
    1,061.34x = 1,464.84 × 619.32
  4. Step 4: Simplify right side
    1,061.34x = 907,204.71
  5. Step 5: Solve for x
    x = 907,204.71/1,061.34
  6. Step 6: Final answer
    x = 854.77

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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.