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Finding the Fourth Proportional to 1,248.03, 1,870.95 and 786.06

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Solution

The fourth proportional to 1,248.03, 1,870.95 and 786.06 is: 1,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.03 : 1,870.95 = 786.06 : x
  2. Step 2: Convert to fraction form
    1,248.03/1,870.95 = 786.06/x
  3. Step 3: Cross multiply
    1,248.03x = 1,870.95 × 786.06
  4. Step 4: Simplify right side
    1,248.03x = 1,470,678.96
  5. Step 5: Solve for x
    x = 1,470,678.96/1,248.03
  6. Step 6: Final answer
    x = 1,178.40

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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.