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Finding the Fourth Proportional to 1,045.56, 1,442.71 and 597.35

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Solution

The fourth proportional to 1,045.56, 1,442.71 and 597.35 is: 824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.56 : 1,442.71 = 597.35 : x
  2. Step 2: Convert to fraction form
    1,045.56/1,442.71 = 597.35/x
  3. Step 3: Cross multiply
    1,045.56x = 1,442.71 × 597.35
  4. Step 4: Simplify right side
    1,045.56x = 861,803.11
  5. Step 5: Solve for x
    x = 861,803.11/1,045.56
  6. Step 6: Final answer
    x = 824.25

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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.