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Finding the Fourth Proportional to 1,045.03, 1,442.16 and 572.95

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Solution

The fourth proportional to 1,045.03, 1,442.16 and 572.95 is: 790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.03 : 1,442.16 = 572.95 : x
  2. Step 2: Convert to fraction form
    1,045.03/1,442.16 = 572.95/x
  3. Step 3: Cross multiply
    1,045.03x = 1,442.16 × 572.95
  4. Step 4: Simplify right side
    1,045.03x = 826,278.36
  5. Step 5: Solve for x
    x = 826,278.36/1,045.03
  6. Step 6: Final answer
    x = 790.68

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