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Finding the Fourth Proportional to 1,624.51, 2,435.95 and 528.58

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Solution

The fourth proportional to 1,624.51, 2,435.95 and 528.58 is: 792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.51 : 2,435.95 = 528.58 : x
  2. Step 2: Convert to fraction form
    1,624.51/2,435.95 = 528.58/x
  3. Step 3: Cross multiply
    1,624.51x = 2,435.95 × 528.58
  4. Step 4: Simplify right side
    1,624.51x = 1,287,594.45
  5. Step 5: Solve for x
    x = 1,287,594.45/1,624.51
  6. Step 6: Final answer
    x = 792.60

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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.