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Finding the Fourth Proportional to 875.40, 1,207.62 and 745.80

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Solution

The fourth proportional to 875.40, 1,207.62 and 745.80 is: 1,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.40 : 1,207.62 = 745.80 : x
  2. Step 2: Convert to fraction form
    875.40/1,207.62 = 745.80/x
  3. Step 3: Cross multiply
    875.40x = 1,207.62 × 745.80
  4. Step 4: Simplify right side
    875.40x = 900,643.00
  5. Step 5: Solve for x
    x = 900,643.00/875.40
  6. Step 6: Final answer
    x = 1,028.84

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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.