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Finding the Fourth Proportional to 1,064.90, 1,595.33 and 631.55

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Solution

The fourth proportional to 1,064.90, 1,595.33 and 631.55 is: 946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.90 : 1,595.33 = 631.55 : x
  2. Step 2: Convert to fraction form
    1,064.90/1,595.33 = 631.55/x
  3. Step 3: Cross multiply
    1,064.90x = 1,595.33 × 631.55
  4. Step 4: Simplify right side
    1,064.90x = 1,007,527.50
  5. Step 5: Solve for x
    x = 1,007,527.50/1,064.90
  6. Step 6: Final answer
    x = 946.12

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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.