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Finding the Fourth Proportional to 1,318.95, 1,820.28 and 877.00

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Solution

The fourth proportional to 1,318.95, 1,820.28 and 877.00 is: 1,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.95 : 1,820.28 = 877.00 : x
  2. Step 2: Convert to fraction form
    1,318.95/1,820.28 = 877.00/x
  3. Step 3: Cross multiply
    1,318.95x = 1,820.28 × 877.00
  4. Step 4: Simplify right side
    1,318.95x = 1,596,384.30
  5. Step 5: Solve for x
    x = 1,596,384.30/1,318.95
  6. Step 6: Final answer
    x = 1,210.34

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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.