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Finding the Fourth Proportional to 1,065.10, 1,469.74 and 592.95

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Solution

The fourth proportional to 1,065.10, 1,469.74 and 592.95 is: 818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.10 : 1,469.74 = 592.95 : x
  2. Step 2: Convert to fraction form
    1,065.10/1,469.74 = 592.95/x
  3. Step 3: Cross multiply
    1,065.10x = 1,469.74 × 592.95
  4. Step 4: Simplify right side
    1,065.10x = 871,482.33
  5. Step 5: Solve for x
    x = 871,482.33/1,065.10
  6. Step 6: Final answer
    x = 818.22

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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.