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Finding the Fourth Proportional to 1,055.48, 1,580.85 and 508.04

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Solution

The fourth proportional to 1,055.48, 1,580.85 and 508.04 is: 760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.48 : 1,580.85 = 508.04 : x
  2. Step 2: Convert to fraction form
    1,055.48/1,580.85 = 508.04/x
  3. Step 3: Cross multiply
    1,055.48x = 1,580.85 × 508.04
  4. Step 4: Simplify right side
    1,055.48x = 803,135.03
  5. Step 5: Solve for x
    x = 803,135.03/1,055.48
  6. Step 6: Final answer
    x = 760.92

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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.