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Finding the Fourth Proportional to 870.01, 1,303.55 and 430.68

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Solution

The fourth proportional to 870.01, 1,303.55 and 430.68 is: 645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.01 : 1,303.55 = 430.68 : x
  2. Step 2: Convert to fraction form
    870.01/1,303.55 = 430.68/x
  3. Step 3: Cross multiply
    870.01x = 1,303.55 × 430.68
  4. Step 4: Simplify right side
    870.01x = 561,404.24
  5. Step 5: Solve for x
    x = 561,404.24/870.01
  6. Step 6: Final answer
    x = 645.28

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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.