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Finding the Fourth Proportional to 973.16, 1,460.70 and 589.16

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Solution

The fourth proportional to 973.16, 1,460.70 and 589.16 is: 884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.16 : 1,460.70 = 589.16 : x
  2. Step 2: Convert to fraction form
    973.16/1,460.70 = 589.16/x
  3. Step 3: Cross multiply
    973.16x = 1,460.70 × 589.16
  4. Step 4: Simplify right side
    973.16x = 860,586.01
  5. Step 5: Solve for x
    x = 860,586.01/973.16
  6. Step 6: Final answer
    x = 884.32

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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.