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Finding the Fourth Proportional to 870.72, 1,305.62 and 597.12

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Solution

The fourth proportional to 870.72, 1,305.62 and 597.12 is: 895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.72 : 1,305.62 = 597.12 : x
  2. Step 2: Convert to fraction form
    870.72/1,305.62 = 597.12/x
  3. Step 3: Cross multiply
    870.72x = 1,305.62 × 597.12
  4. Step 4: Simplify right side
    870.72x = 779,611.81
  5. Step 5: Solve for x
    x = 779,611.81/870.72
  6. Step 6: Final answer
    x = 895.36

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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.