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Finding the Fourth Proportional to 1,504.71, 2,075.91 and 875.13

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Solution

The fourth proportional to 1,504.71, 2,075.91 and 875.13 is: 1,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.71 : 2,075.91 = 875.13 : x
  2. Step 2: Convert to fraction form
    1,504.71/2,075.91 = 875.13/x
  3. Step 3: Cross multiply
    1,504.71x = 2,075.91 × 875.13
  4. Step 4: Simplify right side
    1,504.71x = 1,816,691.12
  5. Step 5: Solve for x
    x = 1,816,691.12/1,504.71
  6. Step 6: Final answer
    x = 1,207.34

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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.