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Finding the Fourth Proportional to 1,045.02, 1,565.91 and 870.06

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Solution

The fourth proportional to 1,045.02, 1,565.91 and 870.06 is: 1,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.02 : 1,565.91 = 870.06 : x
  2. Step 2: Convert to fraction form
    1,045.02/1,565.91 = 870.06/x
  3. Step 3: Cross multiply
    1,045.02x = 1,565.91 × 870.06
  4. Step 4: Simplify right side
    1,045.02x = 1,362,435.65
  5. Step 5: Solve for x
    x = 1,362,435.65/1,045.02
  6. Step 6: Final answer
    x = 1,303.74

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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.