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Finding the Fourth Proportional to 1,258.10, 1,887.38 and 507.66

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Solution

The fourth proportional to 1,258.10, 1,887.38 and 507.66 is: 761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.10 : 1,887.38 = 507.66 : x
  2. Step 2: Convert to fraction form
    1,258.10/1,887.38 = 507.66/x
  3. Step 3: Cross multiply
    1,258.10x = 1,887.38 × 507.66
  4. Step 4: Simplify right side
    1,258.10x = 958,144.79
  5. Step 5: Solve for x
    x = 958,144.79/1,258.10
  6. Step 6: Final answer
    x = 761.58

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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.