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Finding the Fourth Proportional to 1,358.98, 2,038.06 and 525.89

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Solution

The fourth proportional to 1,358.98, 2,038.06 and 525.89 is: 788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.98 : 2,038.06 = 525.89 : x
  2. Step 2: Convert to fraction form
    1,358.98/2,038.06 = 525.89/x
  3. Step 3: Cross multiply
    1,358.98x = 2,038.06 × 525.89
  4. Step 4: Simplify right side
    1,358.98x = 1,071,799.15
  5. Step 5: Solve for x
    x = 1,071,799.15/1,358.98
  6. Step 6: Final answer
    x = 788.68

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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.