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Finding the Fourth Proportional to 1,045.29, 1,442.73 and 714.51

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Solution

The fourth proportional to 1,045.29, 1,442.73 and 714.51 is: 986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.29 : 1,442.73 = 714.51 : x
  2. Step 2: Convert to fraction form
    1,045.29/1,442.73 = 714.51/x
  3. Step 3: Cross multiply
    1,045.29x = 1,442.73 × 714.51
  4. Step 4: Simplify right side
    1,045.29x = 1,030,845.01
  5. Step 5: Solve for x
    x = 1,030,845.01/1,045.29
  6. Step 6: Final answer
    x = 986.18

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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.