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Finding the Fourth Proportional to 973.84, 1,459.98 and 562.51

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Solution

The fourth proportional to 973.84, 1,459.98 and 562.51 is: 843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.84 : 1,459.98 = 562.51 : x
  2. Step 2: Convert to fraction form
    973.84/1,459.98 = 562.51/x
  3. Step 3: Cross multiply
    973.84x = 1,459.98 × 562.51
  4. Step 4: Simplify right side
    973.84x = 821,253.35
  5. Step 5: Solve for x
    x = 821,253.35/973.84
  6. Step 6: Final answer
    x = 843.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.