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Finding the Fourth Proportional to 973.23, 1,450.08 and 947.10

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Solution

The fourth proportional to 973.23, 1,450.08 and 947.10 is: 1,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.23 : 1,450.08 = 947.10 : x
  2. Step 2: Convert to fraction form
    973.23/1,450.08 = 947.10/x
  3. Step 3: Cross multiply
    973.23x = 1,450.08 × 947.10
  4. Step 4: Simplify right side
    973.23x = 1,373,376.21
  5. Step 5: Solve for x
    x = 1,373,376.21/973.23
  6. Step 6: Final answer
    x = 1,411.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.