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Finding the Fourth Proportional to 1,065.64, 1,598.57 and 870.84

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Solution

The fourth proportional to 1,065.64, 1,598.57 and 870.84 is: 1,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.64 : 1,598.57 = 870.84 : x
  2. Step 2: Convert to fraction form
    1,065.64/1,598.57 = 870.84/x
  3. Step 3: Cross multiply
    1,065.64x = 1,598.57 × 870.84
  4. Step 4: Simplify right side
    1,065.64x = 1,392,098.70
  5. Step 5: Solve for x
    x = 1,392,098.70/1,065.64
  6. Step 6: Final answer
    x = 1,306.35

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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.