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Finding the Fourth Proportional to 1,440.01, 1,987.13 and 810.64

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Solution

The fourth proportional to 1,440.01, 1,987.13 and 810.64 is: 1,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.01 : 1,987.13 = 810.64 : x
  2. Step 2: Convert to fraction form
    1,440.01/1,987.13 = 810.64/x
  3. Step 3: Cross multiply
    1,440.01x = 1,987.13 × 810.64
  4. Step 4: Simplify right side
    1,440.01x = 1,610,844.12
  5. Step 5: Solve for x
    x = 1,610,844.12/1,440.01
  6. Step 6: Final answer
    x = 1,118.64

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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.