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Finding the Fourth Proportional to 1,454.84, 2,182.73 and 530.16

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Solution

The fourth proportional to 1,454.84, 2,182.73 and 530.16 is: 795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.84 : 2,182.73 = 530.16 : x
  2. Step 2: Convert to fraction form
    1,454.84/2,182.73 = 530.16/x
  3. Step 3: Cross multiply
    1,454.84x = 2,182.73 × 530.16
  4. Step 4: Simplify right side
    1,454.84x = 1,157,200.56
  5. Step 5: Solve for x
    x = 1,157,200.56/1,454.84
  6. Step 6: Final answer
    x = 795.41

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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.