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Finding the Fourth Proportional to 870.04, 1,302.66 and 609.40

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Solution

The fourth proportional to 870.04, 1,302.66 and 609.40 is: 912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.04 : 1,302.66 = 609.40 : x
  2. Step 2: Convert to fraction form
    870.04/1,302.66 = 609.40/x
  3. Step 3: Cross multiply
    870.04x = 1,302.66 × 609.40
  4. Step 4: Simplify right side
    870.04x = 793,841.00
  5. Step 5: Solve for x
    x = 793,841.00/870.04
  6. Step 6: Final answer
    x = 912.42

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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.