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Finding the Fourth Proportional to 1,148.59, 1,585.05 and 651.18

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Solution

The fourth proportional to 1,148.59, 1,585.05 and 651.18 is: 898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.59 : 1,585.05 = 651.18 : x
  2. Step 2: Convert to fraction form
    1,148.59/1,585.05 = 651.18/x
  3. Step 3: Cross multiply
    1,148.59x = 1,585.05 × 651.18
  4. Step 4: Simplify right side
    1,148.59x = 1,032,152.86
  5. Step 5: Solve for x
    x = 1,032,152.86/1,148.59
  6. Step 6: Final answer
    x = 898.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.