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Finding the Fourth Proportional to 1,045.96, 1,442.67 and 647.49

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Solution

The fourth proportional to 1,045.96, 1,442.67 and 647.49 is: 893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.96 : 1,442.67 = 647.49 : x
  2. Step 2: Convert to fraction form
    1,045.96/1,442.67 = 647.49/x
  3. Step 3: Cross multiply
    1,045.96x = 1,442.67 × 647.49
  4. Step 4: Simplify right side
    1,045.96x = 934,114.40
  5. Step 5: Solve for x
    x = 934,114.40/1,045.96
  6. Step 6: Final answer
    x = 893.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.