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Finding the Fourth Proportional to 1,496, 2,064.50 and 875

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Solution

The fourth proportional to 1,496, 2,064.50 and 875 is: 1,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496 : 2,064.50 = 875 : x
  2. Step 2: Convert to fraction form
    1,496/2,064.50 = 875/x
  3. Step 3: Cross multiply
    1,496x = 2,064.50 × 875
  4. Step 4: Simplify right side
    1,496x = 1,806,437.50
  5. Step 5: Solve for x
    x = 1,806,437.50/1,496
  6. Step 6: Final answer
    x = 1,207.51

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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.