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Finding the Fourth Proportional to 870.99, 1,202.04 and 478.08

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Solution

The fourth proportional to 870.99, 1,202.04 and 478.08 is: 659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.99 : 1,202.04 = 478.08 : x
  2. Step 2: Convert to fraction form
    870.99/1,202.04 = 478.08/x
  3. Step 3: Cross multiply
    870.99x = 1,202.04 × 478.08
  4. Step 4: Simplify right side
    870.99x = 574,675.79
  5. Step 5: Solve for x
    x = 574,675.79/870.99
  6. Step 6: Final answer
    x = 659.80

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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.