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Finding the Fourth Proportional to 973.06, 1,457.94 and 587.50

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Solution

The fourth proportional to 973.06, 1,457.94 and 587.50 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.06 : 1,457.94 = 587.50 : x
  2. Step 2: Convert to fraction form
    973.06/1,457.94 = 587.50/x
  3. Step 3: Cross multiply
    973.06x = 1,457.94 × 587.50
  4. Step 4: Simplify right side
    973.06x = 856,539.75
  5. Step 5: Solve for x
    x = 856,539.75/973.06
  6. Step 6: Final answer
    x = 880.25

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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.