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Finding the Fourth Proportional to 1,045.19, 1,567.58 and 993.15

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Solution

The fourth proportional to 1,045.19, 1,567.58 and 993.15 is: 1,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.19 : 1,567.58 = 993.15 : x
  2. Step 2: Convert to fraction form
    1,045.19/1,567.58 = 993.15/x
  3. Step 3: Cross multiply
    1,045.19x = 1,567.58 × 993.15
  4. Step 4: Simplify right side
    1,045.19x = 1,556,837.11
  5. Step 5: Solve for x
    x = 1,556,837.11/1,045.19
  6. Step 6: Final answer
    x = 1,489.53

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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.