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Finding the Fourth Proportional to 1,045.02, 1,567.80 and 468.30

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Solution

The fourth proportional to 1,045.02, 1,567.80 and 468.30 is: 702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.02 : 1,567.80 = 468.30 : x
  2. Step 2: Convert to fraction form
    1,045.02/1,567.80 = 468.30/x
  3. Step 3: Cross multiply
    1,045.02x = 1,567.80 × 468.30
  4. Step 4: Simplify right side
    1,045.02x = 734,200.74
  5. Step 5: Solve for x
    x = 734,200.74/1,045.02
  6. Step 6: Final answer
    x = 702.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.