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Finding the Fourth Proportional to 1,064.95, 1,470.36 and 815.83

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Solution

The fourth proportional to 1,064.95, 1,470.36 and 815.83 is: 1,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.95 : 1,470.36 = 815.83 : x
  2. Step 2: Convert to fraction form
    1,064.95/1,470.36 = 815.83/x
  3. Step 3: Cross multiply
    1,064.95x = 1,470.36 × 815.83
  4. Step 4: Simplify right side
    1,064.95x = 1,199,563.80
  5. Step 5: Solve for x
    x = 1,199,563.80/1,064.95
  6. Step 6: Final answer
    x = 1,126.40

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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.