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Finding the Fourth Proportional to 973.16, 1,457.34 and 698.12

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Solution

The fourth proportional to 973.16, 1,457.34 and 698.12 is: 1,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.16 : 1,457.34 = 698.12 : x
  2. Step 2: Convert to fraction form
    973.16/1,457.34 = 698.12/x
  3. Step 3: Cross multiply
    973.16x = 1,457.34 × 698.12
  4. Step 4: Simplify right side
    973.16x = 1,017,398.20
  5. Step 5: Solve for x
    x = 1,017,398.20/973.16
  6. Step 6: Final answer
    x = 1,045.46

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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.