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Finding the Fourth Proportional to 1,303.00, 1,797.63 and 830.77

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Solution

The fourth proportional to 1,303.00, 1,797.63 and 830.77 is: 1,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.00 : 1,797.63 = 830.77 : x
  2. Step 2: Convert to fraction form
    1,303.00/1,797.63 = 830.77/x
  3. Step 3: Cross multiply
    1,303.00x = 1,797.63 × 830.77
  4. Step 4: Simplify right side
    1,303.00x = 1,493,409.47
  5. Step 5: Solve for x
    x = 1,493,409.47/1,303.00
  6. Step 6: Final answer
    x = 1,146.13

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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.