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Finding the Fourth Proportional to 870.89, 1,304.01 and 597.51

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Solution

The fourth proportional to 870.89, 1,304.01 and 597.51 is: 894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.89 : 1,304.01 = 597.51 : x
  2. Step 2: Convert to fraction form
    870.89/1,304.01 = 597.51/x
  3. Step 3: Cross multiply
    870.89x = 1,304.01 × 597.51
  4. Step 4: Simplify right side
    870.89x = 779,159.02
  5. Step 5: Solve for x
    x = 779,159.02/870.89
  6. Step 6: Final answer
    x = 894.67

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Why These Related Problems?

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