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Finding the Fourth Proportional to 1,005.26, 1,506.47 and 786.15

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Solution

The fourth proportional to 1,005.26, 1,506.47 and 786.15 is: 1,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.26 : 1,506.47 = 786.15 : x
  2. Step 2: Convert to fraction form
    1,005.26/1,506.47 = 786.15/x
  3. Step 3: Cross multiply
    1,005.26x = 1,506.47 × 786.15
  4. Step 4: Simplify right side
    1,005.26x = 1,184,307.46
  5. Step 5: Solve for x
    x = 1,184,307.46/1,005.26
  6. Step 6: Final answer
    x = 1,178.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.