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Finding the Fourth Proportional to 1,055.60, 1,583.44 and 507.67

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Solution

The fourth proportional to 1,055.60, 1,583.44 and 507.67 is: 761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.60 : 1,583.44 = 507.67 : x
  2. Step 2: Convert to fraction form
    1,055.60/1,583.44 = 507.67/x
  3. Step 3: Cross multiply
    1,055.60x = 1,583.44 × 507.67
  4. Step 4: Simplify right side
    1,055.60x = 803,862.45
  5. Step 5: Solve for x
    x = 803,862.45/1,055.60
  6. Step 6: Final answer
    x = 761.52

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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.