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Finding the Fourth Proportional to 1,005.80, 1,504.65 and 870.35

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Solution

The fourth proportional to 1,005.80, 1,504.65 and 870.35 is: 1,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.80 : 1,504.65 = 870.35 : x
  2. Step 2: Convert to fraction form
    1,005.80/1,504.65 = 870.35/x
  3. Step 3: Cross multiply
    1,005.80x = 1,504.65 × 870.35
  4. Step 4: Simplify right side
    1,005.80x = 1,309,572.13
  5. Step 5: Solve for x
    x = 1,309,572.13/1,005.80
  6. Step 6: Final answer
    x = 1,302.02

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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.