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Finding the Fourth Proportional to 1,310.03, 1,966.05 and 899.15

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Solution

The fourth proportional to 1,310.03, 1,966.05 and 899.15 is: 1,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.03 : 1,966.05 = 899.15 : x
  2. Step 2: Convert to fraction form
    1,310.03/1,966.05 = 899.15/x
  3. Step 3: Cross multiply
    1,310.03x = 1,966.05 × 899.15
  4. Step 4: Simplify right side
    1,310.03x = 1,767,778.77
  5. Step 5: Solve for x
    x = 1,767,778.77/1,310.03
  6. Step 6: Final answer
    x = 1,349.42

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1.5x scale

Why These Related Problems?

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