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Finding the Fourth Proportional to 870.65, 1,201.72 and 591.35

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Solution

The fourth proportional to 870.65, 1,201.72 and 591.35 is: 816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.65 : 1,201.72 = 591.35 : x
  2. Step 2: Convert to fraction form
    870.65/1,201.72 = 591.35/x
  3. Step 3: Cross multiply
    870.65x = 1,201.72 × 591.35
  4. Step 4: Simplify right side
    870.65x = 710,637.50
  5. Step 5: Solve for x
    x = 710,637.50/870.65
  6. Step 6: Final answer
    x = 816.22

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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.