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Finding the Fourth Proportional to 1,250.91, 1,875.67 and 703.70

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Solution

The fourth proportional to 1,250.91, 1,875.67 and 703.70 is: 1,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.91 : 1,875.67 = 703.70 : x
  2. Step 2: Convert to fraction form
    1,250.91/1,875.67 = 703.70/x
  3. Step 3: Cross multiply
    1,250.91x = 1,875.67 × 703.70
  4. Step 4: Simplify right side
    1,250.91x = 1,319,904.88
  5. Step 5: Solve for x
    x = 1,319,904.88/1,250.91
  6. Step 6: Final answer
    x = 1,055.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.