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Finding the Fourth Proportional to 1,070.51, 1,605.04 and 549.86

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Solution

The fourth proportional to 1,070.51, 1,605.04 and 549.86 is: 824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.51 : 1,605.04 = 549.86 : x
  2. Step 2: Convert to fraction form
    1,070.51/1,605.04 = 549.86/x
  3. Step 3: Cross multiply
    1,070.51x = 1,605.04 × 549.86
  4. Step 4: Simplify right side
    1,070.51x = 882,537.89
  5. Step 5: Solve for x
    x = 882,537.89/1,070.51
  6. Step 6: Final answer
    x = 824.41

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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.