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Finding the Fourth Proportional to 917.84, 1,376.90 and 507.16

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Solution

The fourth proportional to 917.84, 1,376.90 and 507.16 is: 760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.84 : 1,376.90 = 507.16 : x
  2. Step 2: Convert to fraction form
    917.84/1,376.90 = 507.16/x
  3. Step 3: Cross multiply
    917.84x = 1,376.90 × 507.16
  4. Step 4: Simplify right side
    917.84x = 698,308.60
  5. Step 5: Solve for x
    x = 698,308.60/917.84
  6. Step 6: Final answer
    x = 760.82

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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.