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Finding the Fourth Proportional to 1,437.03, 1,982.30 and 877.63

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Solution

The fourth proportional to 1,437.03, 1,982.30 and 877.63 is: 1,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.03 : 1,982.30 = 877.63 : x
  2. Step 2: Convert to fraction form
    1,437.03/1,982.30 = 877.63/x
  3. Step 3: Cross multiply
    1,437.03x = 1,982.30 × 877.63
  4. Step 4: Simplify right side
    1,437.03x = 1,739,725.95
  5. Step 5: Solve for x
    x = 1,739,725.95/1,437.03
  6. Step 6: Final answer
    x = 1,210.64

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1.5x scale

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.