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Finding the Fourth Proportional to 1,045.23, 1,442.48 and 597.24

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Solution

The fourth proportional to 1,045.23, 1,442.48 and 597.24 is: 824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.23 : 1,442.48 = 597.24 : x
  2. Step 2: Convert to fraction form
    1,045.23/1,442.48 = 597.24/x
  3. Step 3: Cross multiply
    1,045.23x = 1,442.48 × 597.24
  4. Step 4: Simplify right side
    1,045.23x = 861,506.76
  5. Step 5: Solve for x
    x = 861,506.76/1,045.23
  6. Step 6: Final answer
    x = 824.23

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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.